Question

consider a sphere with a radius of 6.8 yd. using a calculator, approximate the surface area of the sphere. to do the approximation, use the π button on a calculator, and round your answer to the nearest hundredth. make sure that you use the correct units in your answer. approximate surface area:

Explanation:

Step1: Recall sphere - 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 given radius

Given $r = 6.8$ yd, substitute it into the formula: $A=4\pi(6.8)^{2}$.
First, calculate $(6.8)^{2}=6.8\times6.8 = 46.24$.
Then, $A = 4\pi\times46.24$.
Since $4\times46.24 = 184.96$, so $A=184.96\pi$.

Step3: Use the $\pi$ button on the calculator

Using a calculator with the $\pi$ button, $A = 184.96\pi\approx184.96\times3.14159$.
$A\approx581.19$.

Answer:

$581.19$ yd²