Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 9 m square meters

Explanation:

Step1: Recall surface - area formula

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

Step2: Substitute the radius value

Given $r = 9$ m, substitute it into the formula: $A=4\pi(9)^{2}$.
First, calculate $(9)^{2}=81$. Then $A = 4\pi\times81=324\pi$.

Step3: Calculate the numerical value

Using $\pi\approx3.14159$, we have $A\approx324\times3.14159 = 1017.87616$.

Step4: Round the answer

Rounding to the nearest hundredth, $A\approx1017.88$ square meters.

Answer:

$1017.88$