Question

A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. How much paper is needed to make the cup.

Answer 1

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone.  Since it is a cub it doesn't have a base, so we don't need to count it.  

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height.  and of course radius is d/2 where d is the diameter.  so let's plug it in.  We know diameter is 6 and slant height is 7.5

SA = pi * r * s

SA = pi * d/2 * s

SA = pi * 6/2 * 7.5

SA = 22.5 cm^2

So you will need 22.5 square centimeters of paper.  

Answer 2

Answer:

The answer is,22.5 $cm^{2}$

Step-by-step explanation:

Cone Surface Area-

Because the amount of paper will be measured in area, we need the cone's surface area. We don't need to count it because it is a cub without a basis.

The lateral area, or area of the cone without the base, is $\pi rs$, where r is the radius and s is the slant height. Radius is, of course, d/2 where d is the diameter. So let's connect it. We know the diameter is 6 inches and the slant height is 7.5 inches.

SA = $\pi rs$

SA = $\pi d/2s$

SA = $\pi 6/2*7.5$

SA = 22.5 $cm^{2}$

As a result, you'll use 22.5 square centimeters of paper.

Learn more about cone surface area here-https://brainly.com/question/6613758

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