14-10-2014
Mathematics

Answered

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?

Answer :

14-10-2014

[tex]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[/tex]

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