Question

What is the exact volume of the cone?

Answer 1

I belive your answer is v = 162 \pi cm³

Explanation:

\pi 9²(6/3)

\pi 81(2)

\pi 162

volume of a cone = \pi r²(h/3)

Answer 2

`162 \pi \ cm^(3)`

Explanation:

Hello

The volume V of a cone with radius r is one third of the area of ​​the base B by the height h, in this case the base is a circle, the area of a circle is pi()r2,so the Volume is

`v=(\pi\ r^(2) h )/(3)`

step 1

Let

h=6 cm

r=9 cm

step 2

replace

`v=(\pi\ r^(2) h )/(3)\\v=(\pi\ (9\ cm)^(2) *6\ cm )/(3)\\v=(\pi *81\ cm^(2) *6\ cm)/(3) \\v=(\pi\  *486\ cm^(3) )/(3) \\v=162 \pi \ cm^(3)`

the volume is

`162 \pi \ cm^(3)`

Have a great day.