Question

The diameter of a sphere is 2,160 mm. The diameter of a second sphere is 7,520 mm. Approximately how many times larger is the volume of the second sphere than the volume of the first sphere?

Answer 1

Answer:

Approximately 42 times larger

Step-by-step explanation:

The diameter of a sphere is 2,160 mm.

The diameter of a second sphere is 7,520 mm.

To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:

$k = \frac{7520}{2160}$

$k = 3.481$

To see how many times larger the volume is, we cube both sides

${k}^{3} = {3.481}^{3}$

This implies that

${k}^{3} = 42.181$

Therefore the volume of the second sphere is approximately 42 times larger