Question

Find the volume of the largest sphere that could be enclosed in a cube with a side length of 10 cm. Round to the nearesttenth.A. 314.2 cm³B. 523.6 cm³ 3C. 1,000.0 3cmD. 4,188.8 cm³

Answer 1

The.Solution

We are required to determine the volume of the largest sphere that could be enclosed in a cube with a side length of 10 cm

Given that the side length = 10cm,

Thus the volume of the largest sphere that could be enclosed in the cube will be

$\begin{gathered} V=\frac{\pi}{6}\text{ x 10}^3 \\ V=0.523599\text{ x 1000} \\ V=523.599 \\ V=523.6cm^3(nearest\text{ tenth\rparen} \end{gathered}$

The answer is 523.6 cm³