Bot the formula for the surface area, SA, of a right circular cylinder is shown, where r is the radius and h is the height of the cylinder. SA = 2rh+2r^2 Logan makes a rolling pin in the shape of a right circular cylinder, as shown. Dimensions are in inches (in.). r = 3 in. h = 22 in. How many square inches is the surface area of the rolling pin? Round your answer to the nearest square inch.

1 answer

To find the surface area (SA) of the rolling pin, we can substitute the given values into the formula:

SA = 2rh + 2r^2

Given:
r = 3 inches
h = 22 inches

Substituting these values into the formula:

SA = 2(3)(22) + 2(3)^2
SA = 2(66) + 2(9)
SA = 132 + 18
SA = 150 square inches

Therefore, the surface area of the rolling pin is 150 square inches.