Werewolfprincess246 Werewolfprincess246
  • 17-11-2018
  • Mathematics
contestada

surface area of a sphere is 615.752 m2, what is the volume of the sphere?
A) 1436.76 m2
B) 1436.76 m3
C) 2463.01 m2
D) 2463.01 m3

Respuesta :

jimrgrant1 jimrgrant1
  • 17-11-2018

B

the volume (V) of a sphere = [tex]\frac{4}{3}[/tex] πr³

We require to know the radius r to calculate the volume

using surface area of a sphere = 4πr² = 615.752

divide both sides by 4π

r² = [tex]\frac{615.752}{12.56}[/tex] = 49.0248...

take the square root of both sides

r = [tex]\sqrt{49.0248..}[/tex] ≈ 7, hence

V= [tex]\frac{4}{3}[/tex] × π × 7³ = 1436.76 m³ → B



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