Question

Each hemisphere of Isabel’s globe has a volume of 60,750pi cm^3. What is the radius of her globe?

Radius= ______cm

Answer 1

45cm

Explanation:

If volume of a sphere = 4/3πr³

Volume of hemisphere = 1/2 of volume of a sphere

Volume of hemisphere = 1/2{4/3πr³}

Volume of hemisphere = 2/3πr³

Given the volume of hemisphere = 60,750πcm³

60,750π = 2/3πr³

60,750 = 2r³/3

2r³ = 60,750×3

r³ = 91,125

r = ∛91,125

r = 45cm

Radius of the globe is 45cm