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

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

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

Total amount of paper and plastic is the surface area:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: