Find the surface area of a hemisphere with a radius 10m. Leave your answer in terms of pi.(1 point) Responses 300π m2 300 pi m squared 400π m2 400 pi m squared 200π m2 200 pi m squared 500π m2

Answer 1

To find the surface area of a hemisphere, we can use the formula for the surface area of a hemisphere, which is:

\[ \text{Surface Area} = 2\pi r^2 + \pi r^2 = 3\pi r^2 \]

where \( r \) is the radius. The first term \( 2\pi r^2 \) represents the curved surface area, and the second term \( \pi r^2 \) represents the area of the circular base.

Given the radius \( r = 10 , \text{m} \):

\[ \text{Surface Area} = 3\pi (10)^2 = 3\pi (100) = 300\pi , \text{m}^2 \]

So, the surface area of the hemisphere is \( 300\pi , \text{m}^2 \).

The correct answer is:

300π m²