A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 4 inches. How much wax will the company need to make 170 candles?Use 3.14 for π, and do not round your answer.
Question
A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 4 inches. How much wax will the company need to make 170 candles?Use 3.14 for π, and do not round your answer.
Solution
To find out how much wax the company will need, we first need to calculate the volume of one candle. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Step 1: Substitute the given values into the formula: V = π * (3 in)² * 4 in V = 3.14 * 9 in² * 4 in V = 3.14 * 36 in³ V = 113.04 in³
So, each candle has a volume of 113.04 cubic inches.
Step 2: Multiply the volume of one candle by the total number of candles to find the total volume of wax needed: Total volume = 113.04 in³/candle * 170 candles Total volume = 19216.8 in³
So, the company will need 19216.8 cubic inches of wax to make 170 candles.
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