Chapter 12.3, Problem 2GP

To determine

To calculate: height of the cylinder.

Answer to Problem 2GP

Height $\left(h\right)$ of the cylinder is $7.0yards$ .

Explanation of Solution

Given:

Diameter of the cylinder $\left(d\right)=10yards$

Volume $\left(V\right)$ of the cylinder $=549.5cubicyards$

Radius of cylinder base $\left(r\right)=\frac{d}{2}=\frac{10yards}{2}=5yard$

Calculation:

The formula for the volume of cylinder,

  $V=\pi r^{2}h$

After putting the values in the equation,

  $V=\pi {\left(r\right)}^2\left(h\right)$

  $549.5=3.14\times {\left(\frac{10}{2}\right)}^{2}h$

  $\begin{array}{l}\frac{549.5}{3.14}=5^{2}h\\ 175=25h\\ \left(\frac{175}{25}\right)=h\end{array}$

Thus, height $\left(h\right)$ of the cylinder is $7.0yards$ .