Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 10 cm square centimeters

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: Determine the radius

The diameter of the sphere is given as $d = 10$ cm. The radius $r=\frac{d}{2}=\frac{10}{2}=5$ cm.

Step3: Calculate the surface area

Substitute $r = 5$ into the formula: $A=4\pi(5)^{2}=4\pi\times25 = 100\pi$.

Step4: Round the answer

Using $\pi\approx3.14159$, $A\approx100\times3.14159 = 314.159$. Rounding to the nearest hundredth, $A\approx314.16$ $cm^{2}$.

Answer:

314.16