Question bank / Area and volume

Math · Geometry and TrigonometryEasy

A cylindrical can has a radius of 44 centimeters and a height of 1010 centimeters. What is the volume, in cubic centimeters, of the can?

A

40π40\pi

B

80π80\pi

C

160π160\pi

D

640π640\pi

Show answer and explanation

Answer: C

The volume of a cylinder is V=πr2hV = \pi r^2 h. So V=π(4)2(10)=π(16)(10)=160πV = \pi(4)^2(10) = \pi(16)(10) = 160\pi cubic centimeters.

Choice D uses the diameter, 88, in place of the radius, 44.

Why the other choices are wrong

  • A. This uses r times h instead of r squared times h.
  • B. 80π is the area of the curved side, 2πrh, not the volume.
  • D. This uses the diameter, 8, in place of the radius, 4.
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