The diameter of the base of a cylinder is 7.2 ft. The height of the cylinder is 3.7 ft. Find the surface area of the cylinder. Give the exact value. A) 52.56 $\pi$ft² B) 39.60 $\pi$ft² C) 25.92 $\pi$ft² D) 26.64 $\pi$ft² E) 47.95 $\pi$ft²

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. The radius is half the diameter, so $r = 7.2 \, \text{ft} / 2 = 3.6 \, \text{ft}$. Plugging the values into the formula gives $2\pi (3.6)^2 + 2\pi (3.6)(3.7)$, which simplifies to $2\pi (12.96 + 13.32) = 2\pi (26.28)$. This equals $52.56\pi \, \text{ft}^2$, matching choice A.

The Diameter of the Base of a Cylinder Is 7 π\piπ

The Diameter of the Base of a Cylinder Is 7 $\pi$