Question

What is the surface area of the ice cream

cone? (Hint: The top of the cone is open and
not included in the surface area.)
mm
Cone Surface Area =

Answer 1

`13194.7\ mm^2`

Explanation:

The total surface area of a cone is given by:

Surface area =
`\pi r(r+√(h^2+r^2) )`

where r is the radius of the cone, h is the height of the cone, l is the length of the cone =
`√(h^2+r^2)`

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

`Surface \ area=\pi r(√(h^2+r^2) )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2`