A cylinder has a height of 15 feet and a radius of 4 feet. Solve for the total surface area of the cylinder. Use 3.14 for pi and round to the nearest tenth. (1 point) 477.3fee * t ^ 3 60 fre * t ^ 2; 56.52fer * t ^ 2; 301.44fec * t ^ 2
To find the total surface area of a cylinder, we need to calculate the areas of the two bases and the lateral surface.
The formula for the area of the bases is: A = πr^2, where r is the radius.
The formula for the lateral surface area is: A = 2πrh, where r is the radius and h is the height.
Let's calculate the area of the bases:
A_base = π(4^2) = π(16) = 50.24
Now, let's calculate the lateral surface area:
A_lateral = 2π(4)(15) = 120π = 376.8
Finally, let's find the total surface area by adding the areas of the bases and the lateral surface:
Total Surface Area = 2(A_base) + A_lateral = 2(50.24) + 376.8 = 100.48 + 376.8 = 477.28
Rounding to the nearest tenth, the total surface area of the cylinder is 477.3 square feet.