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A sphere has a radius of 24 millimeters. Find its a. volume and b. surface area. Use 3.14 for π. Round the answers to the nearest hundredth

User Mariel
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1 Answer

3 votes

Answer:

  • a. Volume = 57876.48 mi³
  • b. Surface area = 7200 mi²

Explanation:

a.

Formula :


{ \boxed{ \sf{ Volume \: of \: sphere = (4)/(3) \pi \: r^3}}}

Plugging the values , we have


= (4)/(3) * 3.14 * {(24)}^(3) \\ \\ = (4)/(3) * 3.14 * 13824 \\ \\ = ( 4 * 43407.36)/(3) \\ \\ (173629.44)/(3) \\ \\ = 57876.48

Volume of the sphere is 57876.48 mi³ [rounded to nearest hundredth]

b.

Formula :


{\boxed{\sf{Surface \: area = 4 \pi r^2}}}

Plugging the values, we have


= 4 * 3.14 * {(24)}^(2) \\ \\ 4 * 3.14 * 576 \\ \\ = 12.56 * 576 \\ \\ = 7234.56

Surface area of the sphere is 7200 mi²

User Hisener
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