The circumference of the top rim of the cone shaped paper cut is 7.87 inches. Find the least amount of paper that can for a cone shaped cup

14.55 square inches

Step-by-step explanation:

From the figure it is given that,

The circumference of the top rim of a cone shaped paper cut = 2πr = 7.87 inches

The slant height is l = 3.7 inch

Therefore the least amount of paper which can form a cone shaped cup is the surface area of the cone.

The surface area of the cone is given as :

A = 14.55 square inches

Amount of paper required = 14.55 square inches

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal