The volume of a sphere is given bby the equation V = frac{1}{6sqrt{pi}} S^{3/2}, where S is the surface area of the sphere. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meter. Use 3.14 for pi.

fortdefruitI

fortdefruitI

Answered question

2021-02-24

The volume of a sphere is given bby the equation V = 16π S32, where S is the surface area of the sphere. Find the volume of a sphere, to the nearest cubic meter, that has a surface area of 60 square meter. Use 3.14 for π.

Answer & Explanation

opsadnojD

opsadnojD

Skilled2021-02-25Added 95 answers

Given:
The surface area of the sphere is S = 60m2
Concept used:
Volume of the sphere whose surface area is S is given by:
V = 16π S32
Calculation:
The volume of the sphere is:
V = 16π S32
=163.14(60)32
16(1.772)[7.74597]3
110.632(464.7586)
43.71
Answer:
The volume of the sphere (to the nearest cubic meter) is about 44m3

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