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The volume of a cone
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04 Feb 2021, 09:52
04 Feb 2021, 09:52
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The volume of a cone with radius \(r\) and height \(h\) is found by the formula \(V=\frac{1}{3} \pi r^2h\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
Volume of a cone with radius 6 and height 3 |
Volume of a cone with radius 3 and height 6 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
The volume of a cone
[#permalink]
04 Feb 2021, 19:30
04 Feb 2021, 19:30
1
Volume of the cone = \(V=\frac{1}{3} \pi r^2h\)
Qt A
r = 6 & h = 3
V =\(\frac{1}{3}\) \(pi\) * 6 * 6 * 3
= 36\(pi\)
Qt B
r = 3 & h = 6
V = \(\frac{1}{3}\) \(pi\) * 3 * 3 * 6
= 18\(pi\)
Qt A > Qt B
Answer A
Qt A
r = 6 & h = 3
V =\(\frac{1}{3}\) \(pi\) * 6 * 6 * 3
= 36\(pi\)
Qt B
r = 3 & h = 6
V = \(\frac{1}{3}\) \(pi\) * 3 * 3 * 6
= 18\(pi\)
Qt A > Qt B
Answer A
gmatclubot
The volume of a cone [#permalink]
04 Feb 2021, 19:30
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