Question

Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.

Answer 1

V =
`\pi`r^2 x height

Explanation:

Answer 2

Question:-

Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.

Answer:-

Given:-

Radius (r) of the cone = 5 feet.

Height (h) of the cone = 12 feet.

To Find:-

The volume of the cone.

Solution:-

We know,

Formula of Volume of Cone is
`(1)/(3)`πr²h

Volume of the cone =
`(1)/(3)`× π × (5)² × 12

Volume of the cone =
`(1)/(3)`× π × 5 × 5 × 12

Volume of the cone =
`(\pi \: × \: 5 \: × \: 5 \: × \: 12)/(3)`

Volume of the cone =
`(300\pi)/(3)`

Volume of the cone = 100π in³

Volume of the cone is 100π in³.

Hence, option (d) 100π in³ is correct. [Answer]