The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height. Since the radius and height of both candles are the same, we can set up the following equation:
6 = πr^2h
Since the radius and height are the same for both candles, the radius and height of the spherical candle will also be r and h. The volume of a sphere is given by the formula V = (4/3)πr^3. Therefore, the volume of the spherical candle can be calculated using the radius r that we found from the cylindrical candle's volume:
V = (4/3)πr^3
V = (4/3)π(6/πh)^3
V = (4/3)π(216/π^3)
V = 288/π^2
V ≈ 91.7 cubic centimeters
Therefore, the volume of the spherical candle is approximately 91.7 cubic centimeters.
The spherical and the cylindrical candles shown have the same radius and the same height.
The volume of the cylindrical candle is 6 cubic centimeters. What is the volume of the spherical candle? Explain.
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1 answer