Question

The diameter, D, of a sphere is 6.4 mm. Calculate the sphere's volume, V.

Use the value 3.14 for pi and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answer 1

Volume of sphere = 1.3 * 10^-7 cubic meters.

Explanation:

Given the following data;

Diameter, D = 6.4 mm to meters = 6.4/1000 = 0.0064 meters.

But, Radius = diameter/2

Radius = 0.0064/2 = 0.0032 meters.

π = 3.14

To determine the volume of sphere, we would use the formula;

`Volume \; of \; a \; sphere = \frac {4}{3} \pi r^(3)`

Substituting into the equation, we have;

`V = \frac {4}{3} * 3.14 * 0.0032^(3)`

`V = 4.186666667 * 3.2768 * 10^(-8)`

Volume of sphere = 1.371886933 * 10^-7 cubic meters.

To the nearest tenth;

Volume of sphere = 1.3 * 10^-7 cubic meters.