Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 14 in square inches

Explanation:

Step1: Find the radius

The diameter is 14 in, so the radius $r=\frac{14}{2}=7$ in.

Step2: Use the surface - area formula

The formula for the surface area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 7$ into the formula: $A=4\pi\times7^{2}=4\pi\times49 = 196\pi$.

Step3: Calculate the value and round

$A\approx196\times3.14159 = 615.75264$. Rounding to the nearest hundredth, $A\approx615.75$ square inches.

Answer:

$615.75$