kumarkamya26 kumarkamya26
  • 27-04-2021
  • Mathematics
contestada

The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?

Respuesta :

mhanifa
mhanifa mhanifa
  • 28-04-2021

Answer:

Radius of the sphere = r

Volume of sphere:

  • V₁ = 4/3×πr³

Radius of the hemisphere = 2r

Volume of the hemisphere:

  • V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁

The volume of the hemisphere is 4 times greater than the volume of the sphere

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