Home
Class 9
MATHS
If the volume of a right circular cone o...

If the volume of a right circular cone of height 9 cm is `48pic m^3`, find the diameter of itsbase.

Text Solution

Verified by Experts

Volume of cone `V=1/3pir^2h`.
`48pi=1/3pir^2xx9=48pi`
`r^2 =16`
`r=4`
`Diameter =2×4=8cm`
Promotional Banner

Similar Questions

Explore conceptually related problems

The volume of a right circular cone of height 3 cm and slant height 5 cm is

The volume of a right circular cone is equal to the volume of that right circular cylinder whose height is 48 cm and diameter of its base is 20 cm. If the height of the cone is 16 cm, then what will be the diameter of its base?

The volume of a right circular cone is equal to the volume of that right circular cylinder whose height is 27 cm and diameter of its base is 30 cm. If the height of the cone is 25 cm, then what will be the diameter of its base?

The volume of a right circular cylinder is equal to the volume of that right circular cone whose height is 108 cm and diameter of base is 30 cm. If the height of the cylinder is 9 cm, the diameter of its base is

The volume of a solid right circular cone is 600picm^3 , and the diameter of its base is 30 cm. The total surface area (in cm^2 ) of the cone is:

The volume of a right circular cone of height 24 cm is 1232 cm^(3) . Its curved surface area is

A solid toy is in the form of a hemisphere surmounted by a right circular cone. Height of the cone is 2 cm and the diameter of the base is 4 cm. If a right circular cylinder circumscribes the toy, find how much more space it will cover.

A solid toy is in the form of a hemisphere surmounted by a right circular cone. Height of the cone is 2 cm and the diameter of the base is 4 cm. If a right circular cylinder circumscribes the solid. Find how much more space it will cover.

A solid toy is in the form of a hemisphere surmounted by a right circular cone.The height of the cone is 2cm and the diameter of the base is 4cm. Determine the volume of the toy.If a right circular cylinder circumscribes the toy,find the difference of the volumes of the cylinder and the toy.

A sphere of diameter 15.6 cm is melted and cast into a right circular cone of height 31.2 cm. Find the diameter of the base of the cone.