Question

A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with

paper for shipping and each candle also has a plastic circular base. Find the amount of paper needed to

cover the lateral surface of each candle. Then find the total amount of paper and plastic needed for the

candle. Round to the nearest tenth. Use 3.14 for it.

8 in.

12 in.

The amount of paper needed to cover the candle is the lateral area,

The amount of paper and plastic needed for the candle is the surface area,

in?

in2

Answer 1

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Explanation:

As the diagram isn't given.

Consider a right cone shown in the ATTACHMENT.

where

r = 8 in

h = 12 in

First find the value of hypotenuse s by using Pythagoras theorem

Find Lateral Area:

The amount of paper needed to cover the candle is lateral area, which is given by:

`L=\pi\cdot{r}\cdot{s}\\L =\pi\cdot8\cdot14.422\\L=363.3in^2\\`

Find Surface Area:

Total amount of paper and plastic is the surface area:

`S=L+\pi{r}^2\\S=363.3+\pi(8)^2\\S=564.26in^2`

`S=564.3in^2`