Chapter 12.5, Problem 2ACYP

To determine

To find the volume of the given cone.

Answer to Problem 2ACYP

  $V\approx 65.94$ cubic feet (approximately)

Explanation of Solution

Given:

  

  $\text{Height}(h)=7$ feet, $\text{radius}=3$ feet

Formula used:

Volume of cone, $V=\frac{1}{3}Bh=\frac{1}{3}\pi r^{2}h$

where $B=\pi r^2$ is the area of the base and $h$ is the height of the cone.

Calculation:

For the volume ( $V$ ) of the cone,

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

Put the values of $r=3$ and $h=7$ ,

  $\Rightarrow \frac{1}{3}\times 3.14\times {(3)}^2\times 7$

  $\left[\pi =3.14\right]$

  $\Rightarrow \frac{197.82}{3}$

  $\Rightarrow V\approx 65.94$ cubic feet

Conclusion:

Therefore, the volume of the given cone is $65.94$ cubic feet (approximately).