Frequency is the number of students having the same blood group. The frequency is represented in the table or the frequency distribution table: Blood Group Number of Students(Frequency) A 9 B 6 O 12 AB 3 Total 30 The most common Blood Group is the blood group with highest frequency: O The rarest BloRead more
Frequency is the number of students having the same blood group. The frequency is represented in the table or the frequency distribution table:
Blood Group
Number of Students(Frequency)
A
9
B
6
O
12
AB
3
Total
30
The most common Blood Group is the blood group with highest frequency: O
The rarest Blood Group is the blood group with lowest frequency: AB
Since the given data is very large, we construct a grouped frequency distribution table of class size 5. , class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the grouped frequency distribution table as: In the given table the classes do not overlap. Also we find thaRead more
Since the given data is very large, we construct a grouped frequency distribution table of class size 5. , class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the grouped frequency distribution table as:
In the given table the classes do not overlap. Also we find that, the houses of 36 out of 40 engineers are below 20 km of distance
Five examples from day-to-day life: Number of students in our class. Number of fans in our school. Electricity bills of our house for last two years. Election results obtained from television or newspapers. Literacy rate figures obtained from Educational Survey
Five examples from day-to-day life:
Number of students in our class.
Number of fans in our school.
Electricity bills of our house for last two years.
Election results obtained from television or newspapers.
Literacy rate figures obtained from Educational Survey
Primary data: when the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data. Primary data; (i), (ii) and (iii) Secondary data; when the information was gathered from a source which already had the infoRead more
Primary data: when the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data.
Primary data; (i), (ii) and (iii)
Secondary data; when the information was gathered from a source which already had the information stored, the data obtained is called secondary data
(i) Radius of sphere, r = 7 cm Using, Volume of sphere = (4/3) πr3 = (4/3)×(22/7)×73 = 4312/3 Hence, volume of the sphere is 4312/3 cm3 (ii) Radius of sphere, r = 0.63 m Using, volume of sphere = (4/3) πr3 = (4/3)×(22/7)×0.633 = 1.0478 Hence, volume of the sphere is 1.05 m3 (approx).
(i) Diameter = 28 cm Radius, r = 28/2 cm = 14cm Volume of the solid spherical ball = (4/3) πr3 Volume of the ball = (4/3)×(22/7)×143 = 34496/3 Hence, volume of the ball is 34496/3 cm3 (ii) Diameter = 0.21 m Radius of the ball =0.21/2 m= 0.105 m Volume of the ball = (4/3 )πr3 Volume of the ball = (4/Read more
Given, Diameter of a metallic ball = 4.2 cm Radius(r) of the metallic ball, r = 4.2/2 cm = 2.1 cm Volume formula = 4/3 πr3 Volume of the metallic ball = (4/3)×(22/7)×2.1 cm3 Volume of the metallic ball = 38.808 cm3 Now, using relationship between, density, mass and volume, Density = Mass/Volume MassRead more
Given,
Diameter of a metallic ball = 4.2 cm
Radius(r) of the metallic ball, r = 4.2/2 cm = 2.1 cm
Volume formula = 4/3 πr3
Volume of the metallic ball = (4/3)×(22/7)×2.1 cm3
Volume of the metallic ball = 38.808 cm3
Now, using relationship between, density, mass and volume,
Let the diameter of earth be “d”. Therefore, the radius of earth will be will be d/2 Diameter of moon will be d/4 and the radius of moon will be d/8 Find the volume of the moon : Volume of the moon = (4/3) πr3 = (4/3) π (d/8)3 = 4/3π(d3/512) Find the volume of the earth : Volume of the earth = (4/3)Read more
Let the diameter of earth be “d”. Therefore, the radius of earth will be will be d/2
Diameter of moon will be d/4 and the radius of moon will be d/8
Find the volume of the moon :
Volume of the moon = (4/3) πr3 = (4/3) π (d/8)3 = 4/3π(d3/512)
Find the volume of the earth :
Volume of the earth = (4/3) πr3= (4/3) π (d/2)3 = 4/3π(d3/8)
Fraction of the volume of the earth is the volume of the moon
Answer: Volume of moon is of the 1/64 volume of earth.
Diameter of hemispherical bowl = 10.5 cm Radius of hemispherical bowl, r = 10.5/2 cm = 5.25 cm Formula for volume of the hemispherical bowl = (2/3) πr3 Volume of the hemispherical bowl = (2/3)×(22/7)×5.253 = 303.1875 Volume of the hemispherical bowl is 303.1875 cm3 Capacity of the bowl = (303.1875)/Read more
Diameter of hemispherical bowl = 10.5 cm
Radius of hemispherical bowl, r = 10.5/2 cm = 5.25 cm
Formula for volume of the hemispherical bowl = (2/3) πr3
Volume of the hemispherical bowl = (2/3)×(22/7)×5.253 = 303.1875
Volume of the hemispherical bowl is 303.1875 cm3
Capacity of the bowl = (303.1875)/1000 L = 0.303 litres(approx.)
Therefore, hemispherical bowl can hold 0.303 litres of milk.
Inner Radius of the tank, (r ) = 1m Outer Radius (R ) = 1.01m Volume of the iron used in the tank = (2/3) π(R3– r3) Put values, Volume of the iron used in the hemispherical tank = (2/3)×(22/7)×(1.013– 13) = 0.06348 So, volume of the iron used in the hemispherical tank is 0.06348 m3.
Inner Radius of the tank, (r ) = 1m
Outer Radius (R ) = 1.01m
Volume of the iron used in the tank = (2/3) π(R3– r3)
Put values,
Volume of the iron used in the hemispherical tank = (2/3)×(22/7)×(1.013– 13) = 0.06348
So, volume of the iron used in the hemispherical tank is 0.06348 m3.
The blood groups of 30 students of Class VIII are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O. Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students? Q.1
Frequency is the number of students having the same blood group. The frequency is represented in the table or the frequency distribution table: Blood Group Number of Students(Frequency) A 9 B 6 O 12 AB 3 Total 30 The most common Blood Group is the blood group with highest frequency: O The rarest BloRead more
Frequency is the number of students having the same blood group. The frequency is represented in the table or the frequency distribution table:
The most common Blood Group is the blood group with highest frequency: O
The rarest Blood Group is the blood group with lowest frequency: AB
See lessThe distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). Q.2
Since the given data is very large, we construct a grouped frequency distribution table of class size 5. , class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the grouped frequency distribution table as: In the given table the classes do not overlap. Also we find thaRead more
Since the given data is very large, we construct a grouped frequency distribution table of class size 5. , class interval will be 0-5, 5-10, 10-15, 15-20 and so on. The data is represented in the grouped frequency distribution table as:
In the given table the classes do not overlap. Also we find that, the houses of 36 out of 40 engineers are below 20 km of distance
Give five examples of data that you can collect from your day-to-day life. Q.1
Five examples from day-to-day life: Number of students in our class. Number of fans in our school. Electricity bills of our house for last two years. Election results obtained from television or newspapers. Literacy rate figures obtained from Educational Survey
Five examples from day-to-day life:
Classify the data in Q.1 above as primary or secondary data. Q.2
Primary data: when the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data. Primary data; (i), (ii) and (iii) Secondary data; when the information was gathered from a source which already had the infoRead more
Primary data: when the information was collected by the investigator herself or himself with a definite objective in her or his mind, the data obtained is called primary data.
Primary data; (i), (ii) and (iii)
Secondary data; when the information was gathered from a source which already had the information stored, the data obtained is called secondary data
Secondary data; (iv) and (v)
See lessFind the volume of a sphere whose radius is (i) 7 cm (ii) 0.63 m (Assume π =22/7) Q.1
(i) Radius of sphere, r = 7 cm Using, Volume of sphere = (4/3) πr3 = (4/3)×(22/7)×73 = 4312/3 Hence, volume of the sphere is 4312/3 cm3 (ii) Radius of sphere, r = 0.63 m Using, volume of sphere = (4/3) πr3 = (4/3)×(22/7)×0.633 = 1.0478 Hence, volume of the sphere is 1.05 m3 (approx).
(i) Radius of sphere, r = 7 cm
Using, Volume of sphere = (4/3) πr3
= (4/3)×(22/7)×73
= 4312/3
Hence, volume of the sphere is 4312/3 cm3
(ii) Radius of sphere, r = 0.63 m
Using, volume of sphere = (4/3) πr3
= (4/3)×(22/7)×0.633
= 1.0478
Hence, volume of the sphere is 1.05 m3 (approx).
See lessFind the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m (Assume π =22/7) Q.2
(i) Diameter = 28 cm Radius, r = 28/2 cm = 14cm Volume of the solid spherical ball = (4/3) πr3 Volume of the ball = (4/3)×(22/7)×143 = 34496/3 Hence, volume of the ball is 34496/3 cm3 (ii) Diameter = 0.21 m Radius of the ball =0.21/2 m= 0.105 m Volume of the ball = (4/3 )πr3 Volume of the ball = (4/Read more
(i) Diameter = 28 cm
Radius, r = 28/2 cm = 14cm
Volume of the solid spherical ball = (4/3) πr3
Volume of the ball = (4/3)×(22/7)×143 = 34496/3
Hence, volume of the ball is 34496/3 cm3
(ii) Diameter = 0.21 m
Radius of the ball =0.21/2 m= 0.105 m
Volume of the ball = (4/3 )πr3
Volume of the ball = (4/3)× (22/7)×0.1053 m3
Hence, volume of the ball = 0.004851 m3
See lessThe diameter of a metallic ball is 4.2cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3? (Assume π=22/7) Q.3
Given, Diameter of a metallic ball = 4.2 cm Radius(r) of the metallic ball, r = 4.2/2 cm = 2.1 cm Volume formula = 4/3 πr3 Volume of the metallic ball = (4/3)×(22/7)×2.1 cm3 Volume of the metallic ball = 38.808 cm3 Now, using relationship between, density, mass and volume, Density = Mass/Volume MassRead more
Given,
Diameter of a metallic ball = 4.2 cm
Radius(r) of the metallic ball, r = 4.2/2 cm = 2.1 cm
Volume formula = 4/3 πr3
Volume of the metallic ball = (4/3)×(22/7)×2.1 cm3
Volume of the metallic ball = 38.808 cm3
Now, using relationship between, density, mass and volume,
Density = Mass/Volume
Mass = Density × volume
= (8.9×38.808) g
= 345.3912 g
Mass of the ball is 345.39 g (approx).
See lessThe diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon? Q.4
Let the diameter of earth be “d”. Therefore, the radius of earth will be will be d/2 Diameter of moon will be d/4 and the radius of moon will be d/8 Find the volume of the moon : Volume of the moon = (4/3) πr3 = (4/3) π (d/8)3 = 4/3π(d3/512) Find the volume of the earth : Volume of the earth = (4/3)Read more
Let the diameter of earth be “d”. Therefore, the radius of earth will be will be d/2
Diameter of moon will be d/4 and the radius of moon will be d/8
Find the volume of the moon :
Volume of the moon = (4/3) πr3 = (4/3) π (d/8)3 = 4/3π(d3/512)
Find the volume of the earth :
Volume of the earth = (4/3) πr3= (4/3) π (d/2)3 = 4/3π(d3/8)
Fraction of the volume of the earth is the volume of the moon
Answer: Volume of moon is of the 1/64 volume of earth.
See lessHow many litres of milk can a hemispherical bowl of diameter 10.5cm hold? (Assume π = 22/7) Q.5
Diameter of hemispherical bowl = 10.5 cm Radius of hemispherical bowl, r = 10.5/2 cm = 5.25 cm Formula for volume of the hemispherical bowl = (2/3) πr3 Volume of the hemispherical bowl = (2/3)×(22/7)×5.253 = 303.1875 Volume of the hemispherical bowl is 303.1875 cm3 Capacity of the bowl = (303.1875)/Read more
Diameter of hemispherical bowl = 10.5 cm
Radius of hemispherical bowl, r = 10.5/2 cm = 5.25 cm
Formula for volume of the hemispherical bowl = (2/3) πr3
Volume of the hemispherical bowl = (2/3)×(22/7)×5.253 = 303.1875
Volume of the hemispherical bowl is 303.1875 cm3
Capacity of the bowl = (303.1875)/1000 L = 0.303 litres(approx.)
Therefore, hemispherical bowl can hold 0.303 litres of milk.
See lessA hemi spherical tank is made up of an iron sheet 1cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank. (Assume π = 22/7) Q.6
Inner Radius of the tank, (r ) = 1m Outer Radius (R ) = 1.01m Volume of the iron used in the tank = (2/3) π(R3– r3) Put values, Volume of the iron used in the hemispherical tank = (2/3)×(22/7)×(1.013– 13) = 0.06348 So, volume of the iron used in the hemispherical tank is 0.06348 m3.
Inner Radius of the tank, (r ) = 1m
Outer Radius (R ) = 1.01m
Volume of the iron used in the tank = (2/3) π(R3– r3)
Put values,
Volume of the iron used in the hemispherical tank = (2/3)×(22/7)×(1.013– 13) = 0.06348
So, volume of the iron used in the hemispherical tank is 0.06348 m3.
See less