I would like to give a question which
i could not solve.Rd sharma class 10
maths exercise-16.2 mensuration.
In this question we have to find the volume of the tent
given that a circus tent has a cylindrical shape surmounted
by a conical roof. The radius of the cylindrical base is 20 cm.
The heights of the cylindrical and conical portions is 4.2 cm
and 2.1 cm respectively.
Given,
Radius of the cylindrical portion (R) = 20 m
Height of the cylindrical portion (h1) = 4.2 m
Height of the conical portion (h2) = 2.1 m
Now, we know that
Volume of the Cylindrical portion (V1) = πr2 h1
V1 = π(20)24.2
V1 = 5280 m3
And, the volume of the conical part (V2) = 1/3 × 22/7 × r2 × h2
V2 = 13 × 22/7 × 202 × 2.1
V2 = 880 m3
Thus, the total volume of the tent (V) = volume of the conical portion + volume of the Cylindrical portion
V = V1 + V2
V = 6160 m3
Therefore, volume of the tent is 6160 m3