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⦁ Katelyn is making a set of three candles for her friend for Christmas. If the candles have a radius of 1 inch and a height of 4 inches, how much wax will she need to do all three candles?

Sagot :

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  [tex]\pi[/tex][tex]r^{2}[/tex]h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4

                                      = [tex]\frac{22}{7}[/tex] x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.