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A paper cup in the shape of a cone is used to get water from a water cooler. It has a height of 3 inches and a diameter of 22 inches
What is the lateral surface area of the paper cup to the nearest square Inch?
OA 15 square Inches
OB.
19 square Inches
ОС.
14 square Inches
OD. 18 square Inches

Select The Correct Answer A Paper Cup In The Shape Of A Cone Is Used To Get Water From A Water Cooler It Has A Height Of 3 Inches And A Diameter Of 22 Inches Wh class=

Sagot :

We will see that the lateral surface area of the cone is 14 square inches.

How to find the lateral surface area?

We know that for a cone of height H and radius R, the lateral surface of the cone is:

S = 3.14*R*H

In this case, we know that eh height is 3 + 5/8 inches, and the diameter is 2 + 1/2 inches. Remember that the diameter is twice the radius, then:

R = (2 + 1/2) in = (1 + 1/4) in

Replacing that on the surface equation, we will get:

S = 3.14*( (1 + 1/4) in)*(3 + 5/8)in = 14 in^2

If you want to learn more about areas, you can read:

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