6
AssignmentMultiple Choice

Applications with the Volume of a Cylinder

Question 6 • CY Pre-Algebra 2025 BASE

Which cylinder has the greatest volume?

Answer
A
a cylinder with a height of 9 cm and a radius of 9 cm
B
a cylinder with a height of 12 cm and a radius of 6 cm
C
a cylinder with a height of 6 cm and a radius of 12 cm
D
a cylinder with a height of 15 cm and a radius of 3 cm

Explanation

The volume of a cylinder is V = πr²h. For choice C, the volume is π × 12² × 6 = 864π cm³, which is greater than the other volumes: 729π, 432π, and 135π cm³. So the cylinder with a height of 6 cm and a radius of 12 cm has the greatest volume.

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