Area and volume SAT question

Math · Geometry and Trigonometry · Hard · Answer it here, explanation included.

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?

ExplanationShow

Choice C is correct. The volume of right circular cylinder A is given by the expression $pi r squared times h$ , 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 $pi times, open parenthesis, 2 r, close parenthesis, squared, times one half h$ , which is equivalent to $4 pi r squared, times, one half h, and equals 2 pi r squared times h$ . Therefore, the volume is twice the volume of cylinder A, or $2 times 22, equals 44$ .

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.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Area and volume SAT question

More Area and volume questions