The numerical value of the volume of a hemisphere is equal to the numerical value of its total surface area. What is the radius of this hemisphere in units?
Show answer & explanation
Correct answer: B
Explanation
Volume of hemisphere = total surface area of hemisphere
According to the formula:
Volume of hemisphere = (2/3)πr³
Total surface area of hemisphere = 3πr²
(2/3)πr³ = 3πr²
(2/3)r = 3
2r = 9
r = 9/2 = 4.5