What is the volume of air in a cylindrical can of three tennis balls if the diameter of each tennis ball is 2.700 inches
A cylindrical can contains three tennis balls. The diameter of each tennis ball is 2.700 inches. What is the volume of air in the can?
The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, the radius of the base is 1.350 inches (half of the diameter) and the height of the cylinder is the combined height of the three tennis balls, which is 3 * 2.700 = 8.100 inches.
So, the volume of air in the can is:
V = πr²h = π(1.350 in)²(8.100 in) ≈ 36.905 in³
Therefore, the volume of air in the cylindrical can is approximately 36.905 cubic inches.
Related Questions
- What is the formula for the volume of a cylinder?
- The formula for the volume of a cylinder is V = πr²h.
- What is the radius of the base of the cylinder?
- The radius of the base of the cylinder is half of the diameter, which is 1.350 inches.
- What is the height of the cylinder?
- The height of the cylinder is the combined height of the three tennis balls, which is 8.100 inches.
- What is the volume of air in the can?
- The volume of air in the can is approximately 36.905 cubic inches.
- What is the volume of each tennis ball?
- The volume of each tennis ball is approximately 4.094 cubic inches.
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