Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 6 cm square centimeters

Explanation:

Step1: Identify the radius

The diameter is 6 cm, so the radius $r = \frac{6}{2}=3$ cm.

Step2: Apply the surface - area formula for a sphere

The formula for the surface area of a sphere is $A = 4\pi r^{2}$. Substitute $r = 3$ into the formula: $A=4\pi(3)^{2}$.

Step3: Calculate the result

First, $(3)^{2}=9$, then $4\pi\times9 = 36\pi$. Using $\pi\approx3.14159$, we have $A\approx36\times3.14159 = 113.09724$. Rounding to the nearest hundredth, $A\approx113.10$.

Answer:

113.10