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

User NioKi
by
3.3k points

1 Answer

28 votes
28 votes

Solution

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


\begin{gathered} V=(4)/(3)\pi*((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=(4)/(3)*\pi*((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

User Richard Kennard
by
2.5k points