What is the approximate surface area of the sphere?
A sphere has a diameter labeled 15 yd.
(1 point)
Responses
225 yd2
225 yd 2
707 yd2
707 yd 2
1,767 yd2
1,767 yd 2
5,301 yd2
The approximate surface area of a sphere can be calculated using the formula:
Surface Area = 4πr^2
Given that the diameter of the sphere is 15 yards, we can find the radius by dividing the diameter by 2:
Radius = 15 yd / 2 = 7.5 yd
Plugging the radius into the formula, we get:
Surface Area = 4π(7.5 yd)^2
Surface Area ≈ 4π(56.25 yd^2) ≈ 4(3.14)(56.25 yd^2) ≈ 706.5 yd^2
Therefore, the approximate surface area of the sphere is 707 yd^2.