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4 years ago

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

Mathematics

1 answer:

julia-pushkina [17]4 years ago

7 0

Answer:

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Step-by-step 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

<h3>Find Lateral Area:</h3>

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

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

<h3>Find Surface Area:</h3>

Total amount of paper and plastic is the surface area:

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

$S=564.3in^2$

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