Question

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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.

Answer 1

the volume of the cylinder is approximately 538.2 ft³.

Explanation:

To find the surface area and volume of the cylinder, we can use the following formulas:

Surface area = 2πr² + 2πrh

Volume = πr²h

Given that the radius is 3.5 ft and the height is 14 ft, we can substitute these values into the formulas:

Surface area = 2π(3.5)² + 2π(3.5)(14)

Surface area = 2π(12.25) + 2π(49)

Surface area = 24.5π + 98π

Surface area = 122.5π

Surface area ≈ 385.8 ft² (rounded to the nearest tenth)

Volume = π(3.5)²(14)

Volume = π(12.25)(14)

Volume = 171.5π

Volume ≈ 538.2 ft³ (rounded to the nearest tenth)

Therefore, the surface area of the cylinder is approximately 385.8 ft² and the volume of the cylinder is approximately 538.2 ft³.