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If a chalkboard eraser measuring 1 inch by 2 inches by 6 inches is pla
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23 Feb 2021, 14:05
23 Feb 2021, 14:05
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Question Stats:
93% (01:21) correct
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If a chalkboard eraser measuring 1 inch by 2 inches by 6 inches is placed inside a tennis ball can with a radius of 1.5 inches and a height of 10 inches, what is the volume of the unoccupied space in the tennis ball can?
A. \(3 \pi -12\)
B. \(22.5 \pi - 12\)
C. \(30 \pi -12\)
D. \(225 \pi -12\)
E. \(300 \pi -12\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(3 \pi -12\)
B. \(22.5 \pi - 12\)
C. \(30 \pi -12\)
D. \(225 \pi -12\)
E. \(300 \pi -12\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: If a chalkboard eraser measuring 1 inch by 2 inches by 6 inches is pla
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23 Feb 2021, 19:19
23 Feb 2021, 19:19
The volume of the chalkboard eraser = 1 * 2 * 6 = 12 cubic inch
The tennis can is a cylinder with a radius of 1.5 inches and a height of 10 inches
The volume of the cylinder = \(pi\) * \(r^2\) * h
= \(pi\) * 1.5 * 1.5 * 10
= 22.5 \(pi\)
The volume of the unoccupied space = \(22.5 \pi - 12\)
Answer B
The tennis can is a cylinder with a radius of 1.5 inches and a height of 10 inches
The volume of the cylinder = \(pi\) * \(r^2\) * h
= \(pi\) * 1.5 * 1.5 * 10
= 22.5 \(pi\)
The volume of the unoccupied space = \(22.5 \pi - 12\)
Answer B
gmatclubot
Re: If a chalkboard eraser measuring 1 inch by 2 inches by 6 inches is pla [#permalink]
23 Feb 2021, 19:19
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