Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 38 in square inches

Explanation:

Step1: Find the radius

The diameter is 38 in, so radius $r = \frac{38}{2} = 19$ in.

Step2: Apply surface area formula

Surface area of sphere: $4\pi r^2$. Substitute $r=19$: $4\pi(19)^2 = 4\pi(361) = 1444\pi$.

Step3: Calculate numerical value

$1444 \times 3.1416 \approx 4536.46$

Answer:

4536.46