Question

Use the net to find the surface area of the cylinder.

Give your answer in TERMS of pi.

Answer 1

we will need calculate the area of the top, the base and sides.
area of the top=πr²
area of the base=πr²
area of the side: 2πrh
surface area of a cylinder: area of the top + area of the base +area of the side
surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)

Data:
r=radius=diameter / 2=4 yd /2=2 yd
h=heigth=12 yd

Surface area of this cylinder=2π(2 yd)(2 yd + 12 yd)=4π yd(14 yd)=56π yd².

Answer: the surface area of this cylinder is 56π yd².

Answer 2

The surface area of this cylinder is 56π yd².

we will need calculate the area of the top, the base and sides.

area of the top=πr²

area of the base=πr²

area of the side: 2πrh

surface area of a cylinder: area of the top + area of the base +area of the side

surface area of a cylinder=πr²+πr²+2πrh=2πr²+2πrh=2πr(r+h)

Data:

r=radius=diameter / 2=4 yd /2=2 yd

h=height=12 yd

Surface area of this cylinder=2π(2 yd)(2 yd + 12 yd)=4π yd(14 yd)=56π yd².

Hence, he surface area of this cylinder is 56π yd².