Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 61 mm square millimeters submit

Explanation:

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

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

Step2: Identify the radius of the sphere

From the diagram, the radius \( r = 61 \) mm.

Step3: Substitute the values into the formula

Substitute \( \pi \approx 3.14 \) and \( r = 61 \) into the formula:
\[

$$\begin{align*} S&=4\times3.14\times(61)^{2}\\ &=4\times3.14\times3721\\ \end{align*}$$

\]

Step4: Calculate the result

First, calculate \( 4\times3.14 = 12.56 \). Then, multiply by \( 3721 \):
\[
12.56\times3721 = 12.56\times3000+12.56\times700 + 12.56\times21=37680+8792+263.76 = 46735.76
\]

Answer:

\( 46735.76 \)