Question

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

Answer 1

Answer:

41πcm³

Step-by-step explanation:

Just took the test...

Answer 2

Answer:

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

Step-by-step explanation:

The volume of a cone is

$V=\frac{1}{3}\pi r^2h$

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

This formula can also written as

$V=\frac{h}{3}\times \text{Area of base}$     $[\because \text{Area of base}=\pi r^2]$

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

$V=\frac{6}{3}\times 20.5 \pi$

$V=41\pi$

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