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A sphere has a radius of 7/4 mm . what is the volume of the sphere to the nearest cubic millimeter?

User Nicael
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1 Answer

3 votes

Answer:

22 cubic millimeters.

Step-by-step explanation:

Given a sphere with radius, r:


\text{Volume}=(4)/(3)\pi r^3

If the sphere has a radius of 7/4 mm, then:


\begin{gathered} V=(4)/(3)*(22)/(7)*\mleft((7)/(4)\mright)^3 \\ =(4)/(3)*(22)/(7)*(343)/(64) \\ =22.46\operatorname{mm}^3 \\ \approx22\operatorname{mm}^3 \end{gathered}

The volume of the sphere is 22 cubic millimeters (to the nearest cubic millimeter).

User Podshumok
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