HardMath· Geometry and Trigonometry· Area and volume· MCQ
The volume of right circular cylinder A is 22 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with twice the radius and half the height of cylinder A?
A
11
B
22
C
44
D
66
Correct answer: C
Explanation
Choice C is correct. The volume of right circular cylinder A is given by the expression , where r is the radius of its circular base and h is its height. The volume of a cylinder with twice the radius and half the height of cylinder A is given by , which is equivalent to . Therefore, the volume is twice the volume of cylinder A, or .
Choice A is incorrect and likely results from not multiplying the radius of cylinder A by 2. Choice B is incorrect and likely results from not squaring the 2 in 2r when applying the volume formula. Choice D is incorrect and likely results from a conceptual error.
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id cb_question_bank:bae829cd-8d20-4d9a-9554-433ce11f45f5 · question 93de3f84 · IBN 05721-DC
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