Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 24 in square inches

Explanation:

Step1: Find the radius

The diameter $d = 24$ in, and the radius $r=\frac{d}{2}=\frac{24}{2}=12$ in.

Step2: Use the surface - area formula

The formula for the surface area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 12$ into the formula: $A=4\pi(12)^{2}=4\pi\times144 = 576\pi$.

Step3: Calculate the value and round

$A = 576\pi\approx576\times3.14159 = 1809.55784\approx1809.56$ square inches.

Answer:

$1809.56$