Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 148 yd square yards

Explanation:

Step1: Find the radius of the sphere

The diameter of the sphere is given as 148 yd. The radius \( r \) is half of the diameter, so \( r=\frac{148}{2}=74 \) yd.

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

The formula for the surface area \( A \) of a sphere is \( A = 4\pi r^{2} \). Substitute \( r = 74 \) into the formula:
\( A=4\pi(74)^{2} \)
First, calculate \( 74^{2}=74\times74 = 5476 \).
Then, \( 4\times5476 = 21904 \).
So, \( A = 21904\pi \).
Now, calculate the numerical value: \( 21904\times\pi\approx21904\times3.1415926535\approx68814.54 \) (rounded to the nearest hundredth).

Answer:

\( 68814.54 \) square yards