Question

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?

Answer 1

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

Answer 2

FORMULA:

Volume of sphere = 4/3πr³

Volume of hemisphere = 2/3πr³

ASSUMPTION:

Radius of hemisphere = r

Radius of sphere = 1/2r

ANSWER:

Now, Volume of hemisphere = 2/3πr³

And Volume of sphere = 4/3π(1/2r)³

• 1/6πr³

So, their ratio—

• 2/3πr³ × 6πr³
• 4 times.