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the combined volumes of a cone and a cylinder, each with base radius R

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the combined volumes of a cone and a cylinder, each with base radius R [#permalink] New post   26 Apr 2022, 01:00
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Quantity A
Quantity B
the combined volumes of a cone and a cylinder, each with base radius R and height R
the volume of a sphere with radius R


A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given


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C
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Re: the combined volumes of a cone and a cylinder, each with base radius R [#permalink] New post   26 Apr 2022, 10:42
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Volume of cone = 1/3 pi * r^2 * h ----> 1/3 pi r^3, since height = r

Volume of cylinder = pi * r^2 * h ---------> pi * r^3, since height = r

Adding volume of cone and cylinder = 1/3 pi * r^3 + pi * r^3 = 4/3 pi * r^3

Volume of sphere = 4/3 pi * r^3

Both options are equal, hence correct option is C
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gmatclubot
Re: the combined volumes of a cone and a cylinder, each with base radius R [#permalink]
26 Apr 2022, 10:42
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