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  • 14-10-2014
  • Mathematics
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Two cylinders are equal in volume.  The radiusof one is doubled, and the height of the other cylinder s increased to k times its original height.  If the two new cylinders are equal in volume, what is the value of k?

Verified Answer :

luana
luana luana
  • 14-10-2014

\(first\ cylinder:\\ radius-2r_1\\ height-h_1\\\\ second\ cylinder:\\ radius-r_1\\ height-k*h_1\\\\ Volume_1=Volume_2\\ \pi (2r_1)^2*h_1= \pi r_1^2*k*h_1\ \ \ \ |divide\ by\ h_1* \pi \\ 4r_1^2=k*r_1^2\ \ \ |divide\ by\ r_1^2\\ k=4\)

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