A wax candle is 16cm long and 1/1/2cm in diameter. It is melted and made into 4 identical candles each of which is 9cm long. What is the diameter of these candles?
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diameter of candles = 1 cm A wax candle is 16cm long 3/2 cm diameter melted into 4 identical 9 cm long candles
Step-by-step explanation:
A wax candle is 16cm long and 3/2cm in diameter
Volume of candle = π R²H
R = 3/4 cm
H = 16 cm
Volume of candle = π (3/4)²16
= 9 π cm³
Melted and made into 4 identical candles each of which is 9cm long
Let say radius = r
Then Valoume of 4 candles = 4 * π r² 9
= 36 π r²
36 π r² = 9 π
=> r² = 1/4
=> r = 1/2
Diameter = 2 * r = 2 * 1/2 = 1 cm
diameter of these candles = 1 cm
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