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.
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.