Question

An ice cream cone has a radius of 10 cm and a slant height of 12 cm what it is the surface area

Answer 1

Surface Area of a Right Circular Cone

Given a cone of radius R and slant height L, the surface area is calculated as follows:

`A=\pi R(R+L)`

We are given the following data:

R = 10 cm

L = 12 cm

Computing the surface area:

`A=\pi *10\text{ cm}(10\text{ cm}+12\text{ cm})`

Operating:

`\begin{gathered} A=\pi *10\text{ cm}(22\text{ cm}) \\ A=220\pi\text{ }cm^2 \end{gathered}`

This is the exact value. The approximate value can be obtained by substituting pi = 3.14:

A ≈ 690.8 square cm