Question

( PLEASE HELP ASAP - 50 POINTS )
Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. There are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 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.

Answer 1

The area of one fence post whose radius 1/2 ft and height 5 ft. is 164.85 sq. ft.

What is Surface Area?

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object.

Area of one fencepost = Curved surface area + Area of Top surface

          = 2πrh + πr²

                                      = 2(3.14)(1/2)5 + (3.14)(1/2)²

                                      = 16.485 sq ft

Total area of 10 fencepost =  10 X 16.485 = 164.85 sq ft

Thus, the area of one fence post is 164.85 sq. ft.

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