Question

The circumference of the top rim of the cone-shaped paper cup is 8.66 inches. Find the least amount of paper that can form the cone-shaped cup. (Round your answer to two decimal places.)

Answer 1

Answer:

15.59 square inches

Step-by-step explanation:

In the required given diagram, the slant height of the cone was given as 3.6 inches.

The least amount of paper required would be equal to the curved surface area of the cone.

curved surface area of a cone = $\pi$rl

where r is the radius and l the slant height.

circumference of the top rim = 8.66 inches

circumference = 2$\pi$r

⇒ 8.66 = 2$\pi$r

4.33 = $\pi$r

r = 4.33/$\pi$

curved surface area = $\pi$ x  4.33/$\pi$ x 3.6

                                 = 4.33 x 3.6

                                = 15.588 square inches

Thus, the least amount of paper that can form the cone shaped cup is 15.59 square inches.