Question

1. what is the surface area of this sphere?
2. round your answer to the nearest hundredth.

20 in
____ square inches

Explanation:

Step1: Identify radius of the sphere

The diameter is 20 in, so radius $r = \frac{20}{2} = 10$ in.

Step2: Apply surface area formula

Use sphere surface area formula $SA = 4\pi r^2$.
Substitute $r=10$:
$$SA = 4\pi (10)^2 = 4\pi \times 100 = 400\pi$$

Step3: Calculate and round value

Compute $400\pi \approx 400 \times 3.14159265 = 1256.63706$
Round to nearest hundredth: $1256.64$

Answer:

1256.64 square inches