Question

what is the surface area of this sphere?
round your answer to the nearest hundredth.
32.8 cm
square centimeters

Explanation:

Step1: Identify sphere radius

The given value is the radius $r = 32.8$ cm.

Step2: Use surface area formula

The formula for the surface area of a sphere is $SA = 4\pi r^2$.
Substitute $r = 32.8$:
$$SA = 4\pi (32.8)^2$$

Step3: Calculate $r^2$ first

$$(32.8)^2 = 32.8 \times 32.8 = 1075.84$$

Step4: Multiply by 4 and $\pi$

$$SA = 4 \times \pi \times 1075.84 = 4303.36\pi$$
$$SA \approx 4303.36 \times 3.14159265 \approx 13519.55$$

Answer:

13519.55 square centimeters