The radius of a cylinder is 3.5 ft. The height is 14 ft. Find the surface area and volume of the cylinder to the nearest tenth of a foot show your work
Surface Area:
The formula for surface area of a cylinder is:
2πr^2 + 2πrh
Where r is the radius and h is the height. Plugging in the given values, we get:
2π(3.5)^2 + 2π(3.5)(14)
= 2π(12.25) + 2π(49)
= 24.5π + 98π
≈ 361.6
Therefore, the surface area of the cylinder is approximately 361.6 square feet.
Volume:
The formula for the volume of a cylinder is:
πr^2h
Plugging in the given values, we get:
π(3.5)^2(14)
= π(122.5)
≈ 384.5
Therefore, the volume of the cylinder is approximately 384.5 cubic feet.