Question

What is the exact volume of the cone?

Answer 1

Answer:

I belive your answer is v = 162 \pi   cm³

Step-by-step explanation:

\pi  9²(6/3)

\pi  81(2)

\pi  162

volume of a cone =  \pi  r²(h/3)

Answer 2

Answer:

$162 \pi \ cm^{3}$

Step-by-step 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

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

step 1

Let

h=6 cm

r=9 cm

step 2

replace

$v=\frac{\pi\ r^{2} h }{3}\\v=\frac{\pi\ (9\ cm)^{2} *6\ cm }{3}\\v=\frac{\pi *81\ cm^{2} *6\ cm}{3} \\v=\frac{\pi\  *486\ cm^{3} }{3} \\v=162 \pi \ cm^{3}$

the volume is

$162 \pi \ cm^{3}$

Have a great day.