Chapter 12, Problem 23SGR

To determine

To find the volume of the given cone.

Answer to Problem 23SGR

  $V=3.5$ cubic centimeters (approximately)

Explanation of Solution

Given:

  

Height, $(h)=3.4$ centimeters, radius, $(r)=1$ centimeters

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, use the below formula.

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

Put the values of $r=1$ and $h=3.4$ ,

  $\Rightarrow \frac{1}{3}\times 3.14\times {(1)}^2\times 3.4$

  $\left[\pi =3.14\right]$

  $\Rightarrow \frac{10.67}{3}$

  $\Rightarrow V\approx 3.5$ cubic centimeters

Conclusion:

Therefore, the volume of the given cone is $3.5$ cubic centimeters (approximately).