Question

The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units.

A. True
B.False

Answer 1

Answer: True

Step-by-step explanation:

The area of the circle with radius 10 is...

A = pi*r^2

A = pi*10^2

A = 100pi

The surface area of the sphere with radius 5 is...

SA = 4pi*r^2

SA = 4pi*5^2

SA = 100pi

Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.