Question

A flat-bottomed ice cream waffle cup is shaped like a 72 mm tall cone with a 42 mm diameter opening at the top, but with the bottom 24 mm of the cone replaced by a flat waffle bottom with a 14 mm diameter. to the nearest square millimeter, what area of waffle does the cone have?
a.) 4002
b.)4398
c.)4552
d.)4157

Answer 1

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

How to determine the surface area?

The surface area of a cone is calculated using:

A = πr * (r+$\sqrt{$(h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+$\sqrt{$(h^2 + r^2))

A = 3.142 * 21 * (21+$\sqrt{$(72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+$\sqrt{$(h^2 + r^2))

A = 3.142 * 7 * (7+$\sqrt{$(24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

Read more about surface area at:

brainly.com/question/6613758