The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

Question

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The pillars in front of Mr. Jefferson's home are shaped like cylinders. The pillars have a height of 24 ft and a radius of 8 in.

How many square feet of paint are needed to completely cover each pillar? (Do not include the bases.) A. about 100.5 ft2 B. about 1206 ft2 C. about 1608 ft2 D. about 3 ft2

Mathematics

1 answer:

GREYUIT [131] · Answer 1 · 2020-11-19T09:45:41+03:00

Answer:

Option A. about 100.5ft²

Explanation:

Since the bases must not be painted, their areas are not included in the calculation.

The surface to paint, of each pillar, is equal to the lateral area of a cylinder with he dimensions given.

The formula for the laeral area of a cylinder is:

$Lateral\text{ }area=2\pi \times radius \times height$

Substitute including the conversion factor to convert inches to feet:

$Lateral\text{ }area=2\pi \times 8in\times 1ft/12in \times 24ft=100.5ft^2$