Middle School

The surface area of a cylinder can be found using the expression [tex]2 \pi r (r + h)[/tex]. Find the surface area of the cylinder if [tex]h = 6[/tex] feet and [tex]r = 2[/tex] feet. Use [tex]3.14[/tex] for [tex]\pi[/tex] and round to the nearest tenth if needed.

A. 100.8 square feet
B. 50.2 square feet
C. 100.5 square feet
D. 12.6 square feet

Answer :

Answer:

b

Step-by-step explanation:

Final answer:

Using the formula for the surface area of a cylinder, with r representing the radius and h the height, and the given values, the surface area of this cylinder is approximately 100.5 square feet.

Explanation:

To calculate the surface area of a cylinder, you can indeed use the formula 2πr(r+h). Given that the radius (r) is 2 feet and the height (h) is 6 feet and π is approximately 3.14, you can substitute these values into the formula to get:

2*3.14*2*(2+6)

This simplifies to: 2*3.14*2*8 = 100.48

The surface area of this cylinder, to the nearest tenth, is therefore approximately 100.5 square feet. So, the correct choice is (c).

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