Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 12.8 cm square centimeters submit

Explanation:

Step1: Find the radius

The diameter is 12.8 cm, so radius $r = \frac{12.8}{2} = 6.4$ cm.

Step2: Apply surface area formula

Surface area of sphere: $4\pi r^2$. Substitute $r = 6.4$:
$4 \times \pi \times (6.4)^2 = 4 \times \pi \times 40.96 = 163.84\pi$

Step3: Calculate the value

$163.84 \times 3.1416 \approx 514.7185$

Step4: Round to nearest hundredth

$514.7185 \approx 514.72$

Answer:

514.72