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A sector of a circle of radius 5 cm is recast into a right circular co
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25 Mar 2021, 01:44
25 Mar 2021, 01:44
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A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?
12 \(\pi\) cm3
100 \(\pi\) cm3
33 \(\pi\) cm3
32 \(\pi\) cm3
4 \(\pi\) cm3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
12 \(\pi\) cm3
100 \(\pi\) cm3
33 \(\pi\) cm3
32 \(\pi\) cm3
4 \(\pi\) cm3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: A sector of a circle of radius 5 cm is recast into a right circular co
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25 Mar 2021, 03:15
25 Mar 2021, 03:15
Carcass wrote:
A sector of a circle of radius 5 cm is recast into a right circular cone of height 4 cm. What is the volume of the resulting cone?
12 \(\pi\) cm3
100 \(\pi\) cm3
33 \(\pi\) cm3
32 \(\pi\) cm3
4 \(\pi\) cm3
12 \(\pi\) cm3
100 \(\pi\) cm3
33 \(\pi\) cm3
32 \(\pi\) cm3
4 \(\pi\) cm3
We have been given height of the cone is \(4\). Key point to notice - radius of the sector would become the slant height of the cone
Apply Pythagoras Th. to find the radius:
\(L^2 = r^2 + H^2\)
\(5^2 = r^2 + 4^2\)
\(r = 3\)
Volume = \(\frac{1}{3}πr^2H\)
\(= \frac{1}{3}π(3^2)(4)\)
\(= 12π\)
Hence, option A
gmatclubot
Re: A sector of a circle of radius 5 cm is recast into a right circular co [#permalink]
25 Mar 2021, 03:15
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