Chapter 12.4, Problem 32PPS

To determine

To find:

The height of the cylinder.

Answer to Problem 32PPS

The height of the cylinder is $\text{5}\text{.7 cm}$ .

Explanation of Solution

Given information:

A cylindrical can has a volume of $363{\text{ cm}}^3$ . The diameter of the can is $\text{9 cm}$ .

Calculation:

Assume that the height of the cylinder be $h\text{ cm}$ .

Volume of the cylinder is:

  $\begin{array}{c}V=Bh\\ 363=\pi r^{2}h\\ 363=\pi {\left(4.5\right)}^{2}h\\ h=\frac{363}{\pi {\left(4.5\right)}^2}\\ \approx 5.7\end{array}$

Hence the height of the cylinder is $\text{5}\text{.7 cm}$ .