Question

Each hemisphere of isabels globe has a volume of 60,750 pie cm^3. What is the radius of her globe

Answer 1

Answer:

45cm

Step-by-step explanation:

Volume of a sphere = 4/3πr³

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

Volume of hemisphere = 1/2{4/3πr³}

Volume of hemisphere = 2/3πr³

Given

Volume of the hemisphere = 60,750πcm³

60,750π = 2/3πr³

π cancels out

60,750 = 2/3r³

Multiply both sides by 3

2r³ = 60,750×3

2r³=182,250

Divide both sides by 2

r³ = 91,125

Find the ∛ of 91,125 to eliminate the cube on r

r = ∛91,125

r = 45cm