Chapter 12.5, Problem 7CYU

To determine

To find the volume of the given cone.

Answer to Problem 7CYU

  $V\approx 30$ cubic millimeters (approximately)

Explanation of Solution

Given:

  

  $\text{Height}(h)=10.5$ millimeters, $\text{radius}(r)=1.6$ millimeters $$

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 $r=4.2$ and $h=7.3$ ,

  $\Rightarrow \frac{1}{3}\times 3.14\times {(1.6)}^2\times 10.5$

  $\left[\pi =3.14\right]$

  $\Rightarrow \frac{84.4032}{3}$

  $\Rightarrow V\approx 30$ cubic millimeters.

Conclusion:

Therefore, the volume of the given cone is $30$ cubic centimeters (approximately).