Use the formula for the surface area of a sphere to find the surface area of a basketball that has a diameter of 9.2 inches. Use 3.14 pi and round your answer to the nearest hundredth, if necessary.(1 point)
Responses
84.64 in.2
84.64 inches squared
1,063.08 in.2
1,063.08 inches squared
66.44 in.2
66.44 inches squared
265.77 in.2
To find the surface area of a sphere, we use the formula:
\[ \text{Surface Area} = 4\pi r^2 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, the radius \( r \) is half of the diameter. Therefore:
\[ r = \frac{9.2}{2} = 4.6 \text{ inches} \]
Using the approximate value of \( \pi = 3.14 \), we can plug the values into the formula:
\[ \text{Surface Area} = 4 \times 3.14 \times (4.6)^2 \]
\[ \text{Surface Area} = 4 \times 3.14 \times 21.16 \]
\[ \text{Surface Area} = 12.56 \times 21.16 \]
\[ \text{Surface Area} \approx 265.7696 \]
Rounding this number to the nearest hundredth:
\[ \text{Surface Area} \approx 265.77 \text{ inches squared} \]
So the answer is:
265.77 in.^2 or
265.77 inches squared