Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. sphere image with 59 in radius square inches submit

Explanation:

Step1: Recall the formula for the surface area of a sphere

The formula for the surface area \( S \) of a sphere with radius \( r \) is \( S = 4\pi r^{2} \).

Step2: Identify the radius of the sphere

From the diagram, the radius \( r = 59 \) inches.

Step3: Substitute the values into the formula

Substitute \( r = 59 \) and \( \pi \approx 3.14 \) into the formula:
\( S = 4\times3.14\times(59)^{2} \)

First, calculate \( 59^{2} \):
\( 59^{2}=59\times59 = 3481 \)

Then, calculate \( 4\times3.14 = 12.56 \)

Next, multiply \( 12.56\times3481 \):
\( 12.56\times3481 = 12.56\times(3000 + 400+80 + 1)=12.56\times3000+12.56\times400 + 12.56\times80+12.56\times1\)
\(= 37680+5024+1004.8 + 12.56\)
\(=37680 + 5024=42704\); \(42704+1004.8 = 43708.8\); \(43708.8+12.56 = 43721.36\)

Answer:

\( 43721.36 \)