A can has a surface area of 790 square inches. Its height is 6.91 inches. What is the radius of the circular top? Round to the nearest hundredth.
A) 8.28 in.
B) 3.99 in.
C) 18.2 in.
D) 10.39 in.

Question

Quizplus · Accepted Answer

The surface area of a cylinder is given by the formula $2\pi r^2 + 2\pi rh$, where $r$ is the radius and $h$ is the height. Given the surface area (790 square inches) and the height (6.91 inches), we can solve for $r$. Rearranging the formula to solve for $r$ and substituting the given values, we find that the radius is approximately 8.28 inches when rounded to the nearest hundredth.

A Can Has a Surface Area of 790 Square Inches