The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πrh + 2πr^2
Where r is the radius and h is the height.
Given that the diameter is 8 feet, the radius would be half of that, so r = 4 feet. And the height is 21.5 feet.
Surface Area = 2 * 3.14 * 4 * 21.5 + 2 * 3.14 * 4^2
Surface Area = 267.76 + 100.48
Surface Area = 368.24 feet^2
Therefore, the surface area of the water tank is 368.24 feet^2.
Surface Area of Cylinders Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
A water tank is in the shape of a right circular cylinder. The diameter is 8 feet, and the height is 21.5 feet. Find the surface area of the water tank. Use 3.14 for π .(1 point)
640.16
feet2
3 answers
wrong
I apologize for the error. Let's correct that.
Given that the diameter is 8 feet, the radius would be half of that, so r = 4 feet. And the height is 21.5 feet.
Surface Area = 2πr(r + h)
Surface Area = 2 * 3.14 * 4(4 + 21.5)
Surface Area = 2 * 3.14 * 4(25.5)
Surface Area = 2 * 3.14 * 102
Surface Area = 639.84 feet^2
Therefore, the correct surface area of the water tank is 639.84 feet^2. Thank you for pointing that out.
Given that the diameter is 8 feet, the radius would be half of that, so r = 4 feet. And the height is 21.5 feet.
Surface Area = 2πr(r + h)
Surface Area = 2 * 3.14 * 4(4 + 21.5)
Surface Area = 2 * 3.14 * 4(25.5)
Surface Area = 2 * 3.14 * 102
Surface Area = 639.84 feet^2
Therefore, the correct surface area of the water tank is 639.84 feet^2. Thank you for pointing that out.