Question

what is the surface area of this sphere?
round your answer to the nearest hundredth.
14.5 mm
square millimeters

Explanation:

Step1: Identify the radius

The radius \( r = 14.5 \) mm.

Step2: Apply surface area formula

Surface area of sphere: \( 4\pi r^2 \)
Substitute \( r = 14.5 \): \( 4\pi (14.5)^2 \)

Step3: Calculate the value

\( 14.5^2 = 210.25 \)
\( 4 \times 210.25 = 841 \)
\( 841 \times \pi \approx 841 \times 3.1416 \approx 2642.0856 \)

Step4: Round to nearest hundredth

\( 2642.0856 \approx 2642.09 \)

Answer:

2642.09