NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.7 – Part 2
Q3 The height of a cone is . If its volume is , find the radius of the base. (Use )
Solution:
We are given,

Height (h)

Volume =
Consider, the radius of the base of cone to be
Then, volume
Q4 If the volume of a right circular cone of height is , find the diameter of its base.
Solution:
Given,

Height

Volume
Consider, the radius of the base of the cone be
Now, volume
Q5 A conical pit of top diameter is deep. What is its capacity in kiloliters?
Solution:
Given,

Diameter of the top of the conical pit therefore, radius

Depth of the pit
Therefore, volume