find the surface area of a sphere with a diameter of 30 inches. Leave your answer in terms of pi.
a 225π in^2
b 3,600π in^2
c 900π in^2
d 2,826π in^2
The formula for the surface area of a sphere is given by:
Surface Area = 4 * π * r²,
where r is the radius of the sphere.
Given that the diameter of the sphere is 30 inches, the radius r would be half of that, so:
r = 30 inches / 2 = 15 inches.
Now, plug the value of the radius into the formula to calculate the surface area:
Surface Area = 4 * π * (15 inches)²
= 4 * π * 225 inches²
= 900 * 4π inches²
= 3600π inches².
Hence, the correct answer is:
b) 3,600π in²