surface areas and volumes ncert Archives - Page 9 of 12

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 97280 km2, show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each 1072 km long, 75 m wide and 3 m deep. Q.4

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A cistern, internally measuring 150 cm × 120 cm × 100 cm, has 129600 cm3 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each being 22.5 cm × 7.5 cm × 6.5 cm? Q.3

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A right triangle whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose value of π as found appropriate) Q.2

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3. Q.1

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained is drawn into a wire of diameter 1/16 cm, find the length of the wire. Q.5

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively. Find the cost of the milk which can completely fill the container, at the rate of Rs. 20 per litre. Also find the cost of metal sheet used to make the container, if it costs Rs. 8 per 100 cm2.Q.4

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig.). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it. Q.3

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the surface area of the frustum.Q.2

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass. Q.1

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SonuNewbie

Asked: August 3, 2021In: NCERT Class 10th Maths

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 3 km/h, in how much time will the tank be filled?Q.9

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