Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 62 cm square centimeters submit

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 62 cm. The radius \( r \) is half of the diameter, so \( r=\frac{62}{2} = 31 \) cm.

Step2: Use the formula for the surface area of a sphere

The formula for the surface area \( SA \) of a sphere is \( SA = 4\pi r^{2} \). Substitute \( r = 31 \) into the formula:
\( SA=4\pi(31)^{2} \)
First, calculate \( 31^{2}=961 \). Then, \( 4\times961 = 3844 \). So, \( SA = 3844\pi \).
Using a calculator to approximate \( \pi\approx3.14159 \), we get \( SA\approx3844\times3.14159 \approx 12076.28 \) (rounded to the nearest hundredth).

Answer:

12076.28