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The volume of a sphere is 5000 pi m^3 what’s the surface area of the sphere

User Katharine
by
5.8k points

2 Answers

1 vote

Answer:

3,033.11 m²

Explanation:

V=3/4πr³

5,000π= 4/3 πr³

5,000= 4/3 r³

3/4 x 5,000 = r³

3,750 = r³

r = 15.536

SA = 4πr²

SA = 4π(15.536)²

SA = 3,033.11 m²

User Lubo Masura
by
5.5k points
2 votes
Volume of sphere is given by:
V=4/3πr³
the radius of the sphere will therefore be given by:
5000π=4/3πr³
solving for r we get:
r³=3750
hence
r=15.54 m
the area will therefore be:
A=4πr²
A=4π(15.54)²A=965.49π m²
User Speshak
by
5.4k points