Question

what is the surface area of this sphere? round your answer to the nearest hundredth. 0.8 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 $d = 0.8$ cm, so the radius $r=\frac{d}{2}=\frac{0.8}{2}=0.4$ cm.

Step3: Calculate the surface area

Substitute $r = 0.4$ into the formula: $A = 4\pi(0.4)^{2}=4\pi\times0.16 = 0.64\pi$ $cm^{2}$.

Step4: Approximate the value

Using $\pi\approx3.14159$, we have $A\approx0.64\times3.14159 = 2.0106176$ $cm^{2}$.

Step5: Round the answer

Rounding to the nearest hundredth, $A\approx2.01$ $cm^{2}$.

Answer:

$2.01$