The volume of a sphere is 288π cm3. If the radius is doubled, what is the new volume?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2304π cm3.
Sphere volume = (4/3)πr3
(4/3)πr3 = 288π
⇒ (4/3)r3 = 288
⇒ r3 = 216
⇒ r = 6 cm
New radius = 12 cm
New volume = (4/3)π × 123 = (4/3)π × 1728 = 2304π cm3