Question

Question

A spherical weather balloon is filled with helium. If the diameter of the balloon is 10
feet, how many cubic feet of helium does it hold?
294.4 ft3
523.3 ft3
4186.7 ft3
104.7 ft3

Answer 1

523.3ft³

Explanation:

Given

Diameter, D = 10ft

Required

Determine the volume of helium it can hold.

To solve this, we simply calculate the volume of a sphere, which is:

V = 4/3πr³

Where

r = ½D

r = ½ * 10ft

r = 5ft

Substitute 5 for r in the stated formula and take π as 3.14

V = 4/3 * 3.14 * 5³

V = 4/3 * 3.14 * 125

V = ⅓(4 * 3.14 * 125)

V = ⅓ * 1570

V = 523.3 ft³

Hence, the sphere can contain 523.3ft³ of helium