Chapter 12.3, Problem 3CYU

To determine

To calculate: height of the cylinder.

Answer to Problem 3CYU

Height $\left(h\right)$ of the cylinder is $10.1inches$ .

Explanation of Solution

Given:

Diameter of the cylinder $\left(d\right)=6in$

Volume $\left(V\right)$ of the cylinder $=283i{n}^3$

Radius of cylinder base $\left(r\right)=\frac{d}{2}=\frac{6in}{2}=3inches$

Calculation:

The formula for the volume of cylinder,

  $V=\pi r^{2}h$

After putting the values in the equation,

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

  $283=3.14\times {\left(3\right)}^{2}h$

  $\begin{array}{l}283=3.14\times \left(9\right)h\\ 283=28.26h\\ \frac{283}{28.26}=\frac{28.26}{28.26}h\\ 10.1inch=h\end{array}$

Thus, height $\left(h\right)$ of the cylinder is $10.1inches$ .