What number can be used to complete the volume statement for the cone below?

Question

asked Mar 16, 2020 126k views

2 Answers

Kevin Liu · Answer 1 · 2020-03-21T21:02:06+0000

Answer:

The volume of cone is 41π cm³. The required number to complete the volume statement for the cone below is 41.

Explanation:

The volume of a cone is

$V=(1)/(3)\pi r^2h$

Where, r is radius of the base and h is height of the cone.

This formula can also written as

$V=(h)/(3)* \text{Area of base}$
$[\because \text{Area of base}=\pi r^2]$

From the given figure it is clear that the area of the base is 20.5π cm² and the height of the cone is 6 cm. So, the volume of the cone is

$V=(6)/(3)* 20.5 \pi$

$V=41\pi$

Therefore the volume of cone is 41π cm³. The required number to complete the volume statement for the cone below is 41.