A cylinder has a radius of x and a heught of 2x. Calculate the volume of the cylinder in terms of x. Then come up with another three-dimensional figure (other than a cylinder) that has an equal volume. Describe this figures dimensions, and show the calculations of its volume. This volume should be in terms of x also.
2007-02-18 14:20:24 · 2 answers · asked by Anthony V 1 in Education & Reference ➔ Homework Help
Volume of a cylinder is base * height.
here base = pi * x^2, and height is 2x.
therefore V = pi * x^2 * 2x = pi * 2x^3
for the other shape lets use a cone since that's easy.
with a cone, V = 1/3 base * height.
lets leave the base the same, and just make it 3 times higher to offset that 1/3 in the formula.
therefore radius of the cone will still be x, and the height will be 2x * 3 = 6x.
then it's volume is 1/3 (pi * x ^2) * 6x = 2x^3 which is equal to the original cylinder!
hope this helps you
2007-02-18 14:26:02 · answer #1 · answered by Jesse P 2 · 0⤊ 0⤋
Volume of Cylinder=Area of end which is a circle multiplied by height
V=(Pi * (x^2)) * 2x = 2*pi*(x^3)
Volume of cube is length of side^3
so dimension of side would be 1.84x because 1.84 is the cube root of 2*pi
2007-02-18 23:14:52 · answer #2 · answered by Fresh 2 · 0⤊ 0⤋