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akathuria19
 one year ago
A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 5 inches and the height is 9 inches. Express the volume, V, of the cylinder in terms of its height, h.
akathuria19
 one year ago
A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 5 inches and the height is 9 inches. Express the volume, V, of the cylinder in terms of its height, h.

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arivillafana
 one year ago
Best ResponseYou've already chosen the best response.0given this figure, we'll be able to know that Vcone = 1/3 (2pi(r))(H) = 56pi/3 Vcylinder = pi(r^2)(h) equating both equation we'll get ((1/3) (2)(pi)(r)(H))(4\9) = (pi)(r^2)(h) I hope that this will help you solve the problem(:

arivillafana
 one year ago
Best ResponseYou've already chosen the best response.0We know that the Vcylinder = 4/9 Vcone and Vcylinder = (pi)(r^2)(h) and Vcone = 1/3(B)(H) where: B= area of lower surface of cone and H=the height of cone.

akathuria19
 one year ago
Best ResponseYou've already chosen the best response.0How do I set this equation up though?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0question is incomplete. cylinder can be of any dimensions.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444281531164:dw

akathuria19
 one year ago
Best ResponseYou've already chosen the best response.0I'm confused on how to find the Volume in terms of its height...I understand that V of a cylinder is (pi)rh and volume of a cone is (pi)r^2(h/3)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\pi R^2H<\ \frac{ 1 }{ 3 } \pi r^2h,or~3 R^2H<r^2h \] where Ris radius and H is height of cylinder. and r is radius of cone ,h the height of cylinder i think question should be cylinder of maximum volume.

akathuria19
 one year ago
Best ResponseYou've already chosen the best response.0It needs to be V(h) =

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444348030159:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[Volume V=\pi \left( \frac{ 5 }{ 9 }\left( 9h \right) \right)^2h=\frac{ 25 }{ 81 } \pi h \left( 9h \right)^2\]
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