Question

The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?

A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answer 1

Option B (16 cm³)

Explanation:

GIVEN :-

• Both cone and cylinder have same radius and height.

• Volume of cylinder = 48 cm³

TO FIND :-

• Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

• Volume of a cylinder having radius 'r' and height 'h' is
  `\pi r^2h`

• Volume of a cone having radius 'r' and height 'h' is
  `(1)/(3) \pi r^2 h`

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone =
`(1)/(3) (Volume \: of \: cylinder) = (48)/(3) = 16 cm^3`