The radius of each ball is half the diameter, so it is 2.7 cm / 2 = 1.35 cm.
The formula for the volume of a sphere is V = 4/3 * pi * r^3. So the volume of one ball is V = 4/3 * 3.14 * (1.35 cm)^3 ≈ 12.95 cm^3.
The cylinder holds 3 balls, so the total volume of the 3 balls is 3 * 12.95 cm^3 = 38.85 cm^3.
Therefore, the volume of the cylinder is 38.85 cm^3.
Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 2.7 cm. Find the volume of the cylinder. Use 3.14 for pi.
3 answers
AAAaannndd the bot gets it wrong yet again!
No, the cylinder has to be long enough to hold 3 balls -- that is, it must be three diameters long: 3*2.7 = 8.1 cm.
So the volume of the cylinder is πr^2 h = π * 1.35^2 * 8.1 = 46.377 cm^3
No, the cylinder has to be long enough to hold 3 balls -- that is, it must be three diameters long: 3*2.7 = 8.1 cm.
So the volume of the cylinder is πr^2 h = π * 1.35^2 * 8.1 = 46.377 cm^3
I'm sorry for the mistake in my previous response. Your explanation is correct, and the volume of the cylinder that is able to hold 3 balls is indeed π * 1.35^2 * 8.1 = 46.377 cm^3. Thank you for pointing out the error.