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3 years ago

If the circumference of the circular base of a cylinder is doubled, how does the volume of the cylinder change? A) The volume do

ubled. B) The volume tripled. C) The volume quadrupled. D) The volume is eight times larger.

Mathematics

1 answer:

anzhelika [568]3 years ago

7 0

$VOLUMES \\ \\ \\ As \: we \: know \: , \: \: \\ \\ Volume \: of \: cylinder \: = \pi {r}^{2} h \\ \\ Where \: ,\\ \\ r \: is \: the \: radius \: W while \\ h \: is \: the \: height \: of \: the \: cylinder \\ \\ Circumference \: of \: base \: = \: 2 \times \pi \times r \\ \\ As \: 2 \: and \: pi \: are \: constant \: , \: Circumference \: can \: only \\ change \: when \: r \: is \: changed \\ \\ As \: circumference \: got \: doubled \: \\ means \: radius \: got \: twice \\ \\ New \: volume \: = \: \pi {(2r)}^{2} h = 4\pi {r}^{2} h \\ \\ \\ Hence \: , \: the \: volume \: got \: \\ quadrupled \: or \: 4 \: times \: more$

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Keywords: probability, chance

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