Question

100pts!! Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1 foot. There are 11 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 11 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit. Please explain the clearest you can <3

Answer 1

Answer:

39.25 cubic feet of paint will be needed by Ellis.

Step-by-step explanation:

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder of radius r and height h is given by:

V = \pi r^2h = 3.14r^2h

How much paint will Ellis need to paint all the surfaces of the 10 fenceposts?

This is the combined volume of these 10 fenceposts.

They are each 5 feet tall and have a diameter of 1 foot.

Radius is half the diameter, so r = \frac{1}{2} = 0.5. Also h = 5

10 fenceposts:

Each has the same volume, so:

V = 10(3.14)r^2h = 31.4(0.5)^2(5) = 39.25

39.25 cubic feet of paint will be needed by Ellis.

hope this helps

Answer 2

Answer:

259.05 square feet

Step-by-step explanation:

Surface Area of a Fencepost

• It is in the shape of a cylinder
• SA = 2πr (r + h)
• SA = π (0.5 + 7) = 7.5π

Therefore, surface area of 11 posts is :

• 7.5π × 11
• 82.5π
• 82.5 × 3.14
• 259.05 square feet