The total surface area of a solid hemisphere is numerically equal to the volume of a sphere with the same radius. What is the radius?
Show answer & explanation
Correct answer: A
Explanation
Given:
Total surface area of the hemisphere = Volume of the sphere
Radius of both = r
By formula:
Total surface area of the hemisphere = 3πr²
Volume of the sphere = (4/3)πr³
3πr² = (4/3)πr³
3 = (4/3)r
9 = 4r
r = 2.25 units