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Percentage increase in the volume of a sphere
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24 Sep 2021, 21:14
24 Sep 2021, 21:14
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54% (01:18) correct
45% (01:14) wrong based on 11 sessions
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What is the percentage increase in the volume of a sphere if it's radius is increased by 3 times?
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2600
Percentage increase in the volume of a sphere
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27 Sep 2021, 13:33
27 Sep 2021, 13:33
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RA911 wrote:
What is the percentage increase in the volume of a sphere if it's radius is increased by 3 times?
Volume of sphere is \(\frac{4}{3} \pi *r^3\)
So if \(r\) is increased 3 times, then percentage increase is \(\frac{(new value - old value)}{old value} * 100\)
\(\frac{(([fraction]4}{3})*\pi*(3r)^3 - (\frac{4}{3})*\pi*r^3)/(\frac{4}{3})*\pi*r^3 [/fraction]* 100\)
=\(26 * 100 = 2600\)
Re: Percentage increase in the volume of a sphere
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17 Jul 2023, 12:26
17 Jul 2023, 12:26
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