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The diameter, D, of a sphere is 14.8 cm. Calculate the sphere's volume, V.Use the value 3.14 for n, and round your answer to the nearest tenth. (Do not round any intermediate computations.)

The diameter, D, of a sphere is 14.8 cm. Calculate the sphere's volume, V.Use the-example-1
User Gaurab Kumar
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1 Answer

20 votes
20 votes

Given data:

The given diameter is d=14.8 cm.

The expression for the volume of the sphere is,


\begin{gathered} V=(4)/(3)\pi(r)^3 \\ =(4)/(3)\pi((d)/(2))^3 \end{gathered}

Substitute the given values in the above expression.


\begin{gathered} V=(4)/(3)(3.14)((14.8)/(2)cm)^3 \\ =1696.5378cm^3 \\ \approx1696.5cm^3 \end{gathered}

Thus, the volume of the sphere is 1,696.5 cubic-cm.

User Matthew Wilcoxson
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3.2k points
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