Answer:
96π
301.59
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
[tex]V=\frac{1}{3}bh[/tex]
b is the base and h is the height. The base formula for a circle (area):
[tex]b=\pi r^2[/tex]
Insert this value into the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
Simplify the formula:
[tex]V=\frac{\pi r^2h }{3}[/tex]
Now insert the known values:
[tex]V=\frac{\pi(6)^2(8) }{3}[/tex]
Simplify:
[tex]V=\frac{\pi*36*8 }{3}\\\\V=\frac{288\pi }{3}\\\\V=96\pi[/tex]
The volume is 96π units³ or 301.59 units³.
:Done