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.
Given that the volume of the cylindrical candle is 6 cubic centimeters, and the radius and height are the same for both the cylindrical and spherical candles, we can find the volume of the cylindrical candle by substituting the given values:
6 = πr^2h
Since the radius and height are the same for both shapes, we can set the volume of the spherical candle equal to the volume of the cylindrical candle:
V_spherical = V_cylindrical
V_spherical = πr^2h
Therefore, the volume of the spherical candle is also 6 cubic centimeters. This is because both shapes have the same radius and height, so they both have the same volume.
To find the volume of the cylinder, we can calculate the volume using the formula V = πr^2h, where r = 1 cm and h = 3 cm.
V = π(1)^2(3)
V = 3π
V ≈ 9.42 cubic centimeters
Therefore, the volume of the cylinder is approximately 9.42 cubic centimeters.