Chapter 12.6, Problem 19PPS

To determine

To find the volume of given sphere to the nearest tenth.

Answer to Problem 19PPS

4.19 cm³

Explanation of Solution

Given: A figure of a sphere is given as follows.

  

The diameter of the given sphere is 2 cm.

Formula used:

Volume of a sphere $=\frac{4}{3}\pi r^3$

And radius of the sphere (r) $=\frac{d}{2}$ , where r is the radius of the sphere and d is the diameter of the sphere.

Calculation:

  $\begin{array}{l}r=\frac{2}{2}\\ r=1\end{array}$

Volume of given sphere,

  $\begin{array}{l}=\frac{4}{3}\pi r^3\\ =\frac{4}{3}\times \pi \times 1^3\\ =4.188\\ \sim 4.19\left(\text{to nearest tenth}\right)\end{array}$

Hence, volume of given sphere is 4.19 cm³.