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. What is the volume of the cylinder
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 cylindrical candle has a volume of 6 cubic centimeters, we can set up the equation:
6 = πr^2h
Since the spherical candle and the cylindrical candle have the same radius and height, the radius and height of the spherical candle are also r and h, respectively. The volume of a sphere is given by the formula V = (4/3)πr^3. Since the radius of the spherical candle is the same as the cylindrical candle, the volume of the spherical candle can be calculated as:
V = (4/3)πr^3 = (4/3)πr^3 = (4/3)(6) = 8π cubic centimeters
Therefore, the volume of the spherical candle is 8π cubic centimeters, and the volume of the cylindrical candle is 6 cubic centimeters.