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.

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.

sakshigupta4990 sakshigupta4990 · Answer 2 · 2022-05-21T14:29:38+02:00

Answer:

The answer is,22.5 [tex]cm^{2}[/tex]

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 [tex]\pi rs[/tex], 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 = [tex]\pi rs[/tex]

SA = [tex]\pi d/2s[/tex]

SA = [tex]\pi 6/2*7.5[/tex]

SA = 22.5 [tex]cm^{2}[/tex]

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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