Wax candles

A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 4 inches and a height of 7 inches. If the company used 7561.12 in3 of wax, how many candles did it make? Use 3.14, and do not round your answer

Result

n =  86

Solution:

D=4 inch h=7 inch V=7561.12 inch3  r=D/2=4/2=2 inch π=3.14 V1=3.14 r2 h=3.14 22 7=219825=87.92 inch3  n=V/V1=7561.12/87.92=86D=4 \ \text{inch} \ \\ h=7 \ \text{inch} \ \\ V=7561.12 \ \text{inch}^3 \ \\ \ \\ r=D/2=4/2=2 \ \text{inch} \ \\ \pi=3.14 \ \\ V_{1}=3.14 \cdot \ r ^2 \cdot \ h=3.14 \cdot \ 2 ^2 \cdot \ 7=\dfrac{ 2198 }{ 25 }=87.92 \ \text{inch}^3 \ \\ \ \\ n=V/V_{1}=7561.12/87.92=86



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