Find the surface area of a sphere with a diameter of 30 inches leave your answer in terms of pi
To find the surface area of a sphere when you're given the diameter, you can use the surface area formula for a sphere:
Surface area (A) = 4 * pi * r^2
First, we need to determine the radius (r) of the sphere. The radius is half of the diameter (d). Since the diameter (d) is 30 inches:
r = d / 2
r = 30 inches / 2
r = 15 inches
Now, plug the radius into the surface area formula to calculate the surface area:
A = 4 * pi * (15 inches)^2
A = 4 * pi * 225 square inches
A = 900 * pi square inches
The surface area of the sphere in terms of pi is:
900 * pi square inches