If the area of the circular base of a hemisphere is 308, find the volume of the hemisphere
Show answer & explanation
Correct answer: D
Explanation
πr² = 308
Volume of hemisphere = (2/3)πr³
(22/7)r² = 308
⇒ r² = 98 ⇒ r = 7√2
Volume = (2/3) × (22/7) × (7√2)³
= (2/3) × (22/7) × 686√2
= (44/3) × 98√2
= 4312√2 / 3
=1437.33√2 cubic centimeters