You have 4500 cubic centimeters of wax. how many cylindrical candles can you make from the wax if each candle is 15 centimeters tall and has a diameter of 10 centimeters?

Respuesta :

The number of cylindrical candles of 15cm height and 10cm diameter to be made from 4500[tex]cm^{3}[/tex] of wax is : 3.81 approximately 4

What is a cylinder?

A cylinder is a solid geometrical shape with two parallel sides and two oval or circular cross-sections.

Analysis:

Given data:

Volume of wax = 4500[tex]cm^{3}[/tex]

Diameter of candle = 10cm

Radius of candle = diameter/2 = 10/2 = 5cm

Height of candle = 15cm

Volume of each cylindrical candle = π[tex]r^{2}[/tex]h

Volume of each cylindrical candle = [tex]\frac{22}{7}[/tex] x [tex](5)^{2}[/tex] x 15 = [tex]\frac{8250}{7}[/tex][tex]cm^{3}[/tex]

Volume of wax = n x volume of each cylindrical candle

n = number of candles

n = [tex]\frac{volume of wax}{volume of each cylindrical candle}[/tex]

n = [tex]\frac{4500}{\frac{8250}{7} }[/tex] = 3.81 approximately 4

In conclusion, the number of cylindrical candles to be made from 4500 cubic centimeters wax is 4.

Learn more about cylinders: brainly.com/question/9554871

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