The height of a right circular cylinder is twice the radius. Express the volume as a function of the radius.?

2014-07-24 7:19 pm
The height of a right circular cylinder is twice the radius. Express the volume as a function of the radius.


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回答 (2)

2014-07-24 7:25 pm
Volume = base * height
base = pi * r^2
height = 2*r
V(r) = pi * r^2 * 2r
V(r) = 2 * pi * r^3
2014-07-24 10:19 pm
For a right circular cylinder :

V = ( pi ) ( R )^2 ( H )

Since H = 2R, you have :

V = ( pi ) ( R )^2 ( 2R )

V = ( 2 ) ( pi ) ( R )^3 <------------------


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