Answer: A) 33.5 in³
Explanation
The volume of a cone (V) is given by the following formula, where r represents the radius and h the height:
[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]
In our case,
• r = ,2 in
,
• h ,= 8 in
Then, we can replace these values in the formula:
[tex]V=\frac{1}{3}\pi\cdot2^2\cdot8[/tex]
Simplifying:
[tex]V=\frac{1}{3}\pi\times4\times8[/tex][tex]V=\frac{1}{3}\pi\times32[/tex][tex]V\approx33.5in^3[/tex]
