Question

The ratio of the total surface area of a hemisphere and a sphere of same radius is ______.

Options

• 3:2

• 3:4

• 2:3

• 4:3

Answer 1

The ratio of the total surface area of a hemisphere and a sphere of same radius is 3:4.

Explanation:

The total surface area of a hemisphere of radius r is 3πr², and the total surface area of a sphere of the same radius is 4πr². Therefore, the required ratio is `3πr<sup>2</sup>/4πr<sup>2</sup> = 3/4` which equals 3:4.