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Use the net to find the surface area of the cylinder. Give your answer in terms of pi

A. 48pi yd^2
B. 40pi yd^2
C. 16pi yd^2
D. 56pi yd^2

Use The Net To Find The Surface Area Of The Cylinder Give Your Answer In Terms Of Pi A 48pi Yd2 B 40pi Yd2 C 16pi Yd2 D 56pi Yd2 class=

Sagot :

Answer:

D) 56π yd²

Step-by-step explanation:

The surface area of a cylinder is [tex]SA=2\pi rh+2\pi r^2[/tex]

Given a diameter of 4 yards, its radius must be 2 yards, which is half of it.

Now, we can determine the surface area of the cylinder:

[tex]SA=3\pi rh+2\pi r^2[/tex]

[tex]SA=2\pi(2)(12)+2\pi(2)^2[/tex]

[tex]SA=2\pi(24)+2\pi(4)[/tex]

[tex]SA=48\pi+8\pi[/tex]

[tex]SA=56\pi[/tex]

Therefore, the surface area of the cylinder is 56π yd².

BrainCube

Answer:

D. [tex]SA=56\pi[/tex]

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