Question

Find the volume of the specified solid. Use 3.14 for pie. Round final answer to the nearest tenth. A sphere with diameter 48ft.

Answer 1

Solution

- The formula for finding the volume of a sphere is given below:

$\begin{gathered} V=\frac{4}{3}\pi\times(\frac{d}{2})^3 \\ where, \\ d=diameter\text{ of the sphere} \end{gathered}$

- We have been given:

$d=48ft$

- Thus, the volume of the sphere is:

$\begin{gathered} V=\frac{4}{3}\times\pi\times(\frac{48}{2})^3 \\ \\ V=18432\pi \\ \\ \text{ But, }\pi=3.14 \\ \\ \therefore V=57876.48\approx57876.5ft^3\text{ \lparen To the nearest tenth\rparen} \end{gathered}$

Final Answer

The volume of the sphere is 57,86.5 cubic feet