Question

Find the volume of the cone.

Answer 1

Answer:

96π

301.59

Step-by-step explanation:

The volume of a cone can be calculated using the following formula:

$V=\frac{1}{3}bh$

b is the base and h is the height. The base formula for a circle (area):

$b=\pi r^2$

Insert this value into the formula:

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

Simplify the formula:

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

Now insert the known values:

$V=\frac{\pi(6)^2(8) }{3}$

Simplify:

$V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi$

The volume is 96π units³ or 301.59 units³.

:Done

Answer 2

Answer:

Hey there!

Cone formula: $\pi$hr^2/3

Plugging in the values, we get the volume is 301.59

Let me know if this helps :)