Chapter 7.3, Problem 37P

The radius of a cylinder is $5.4\times {10}^6\text{cm}.$

The height of the cylinder is $2.5\times {10}^3\text{cm}$.

What is the volume of the cylinder? (Hint: $V=\pi r^{2}h$

)

To determine

To find: The volume of the cylinder.

Answer to Problem 37P

The volume of the cylinder is $2.28906\times {10}^{17}{\text{ cm}}^2$

Explanation of Solution

Given:

Radius of a cylinder $\left(r\right)=5.4\times {10}^6\text{ cm}$

Height of a cylinder $\left(h\right)=2.5\times {10}^3\text{ cm}$

Concept used:

The formula to compute the volume of the cylinder is:

  $V=\pi r^{2}h$

Calculation:

The volume of the cylinder can be calculated as:

  $\begin{array}{c}V=\pi r^{2}h\\ =\frac{22}{7}\times {\left(5.4\times {10}^6\right)}^2\times \left(2.5\times {10}^3\right)\\ =3.143\times {5.4}^2\times {10}^{12}\times 2.5\times {10}^3\\ =2.28906\times {10}^{17}\end{array}$

Thus, the volume of the cylinder is $2.28906\times {10}^{17}{\text{ cm}}^2$