Question

what is the surface area of this sphere?
round your answer to the nearest hundredth.
34 ft
____ square feet

Explanation:

Step1: Find the sphere's radius

The diameter is 34 ft, so radius $r = \frac{34}{2} = 17$ ft.

Step2: Apply surface area formula

Use sphere surface area formula $SA = 4\pi r^2$.
Substitute $r=17$:
$SA = 4\pi (17)^2 = 4\pi \times 289 = 1156\pi$

Step3: Calculate and round the value

Compute $1156\pi \approx 1156 \times 3.14159265 \approx 3631.68$

Answer:

3631.68 square feet