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MATH / The volume of the cylinder shown is 45π cubic cm. What is the height in centimeters of the cylinder? [asy] size(120); draw(shift(2.2,0)*yscale(0.3)*Circle((0,0), 1.2)); draw((1,0)-…

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problem

The volume of the cylinder shown is 45π45\pi cubic cm. What is the height in centimeters of the cylinder? [asy] size(120); draw(shift(2.2,0)*yscale(0.3)*Circle((0,0), 1.2)); draw((1,0)--(1,-2)); draw((3.4,0)--(3.4,-2)); draw((1,-2)..(2.2,-2.36)..(3.4,-2)); label("hh",midpoint((3.4,0)--(3.4,-2)),E); draw (((2.2,0)--(3.4,0))); label("r=3r=3",midpoint((2.2,0)--(3.4,0)),N); [/asy]
Plain-text mathematical notation (without MathML)
The volume of the cylinder shown is 45π cubic cm. What is the height in centimeters of the cylinder? [asy]
size(120);
draw(shift(2.2,0)*yscale(0.3)*Circle((0,0), 1.2));

draw((1,0)--(1,-2));
draw((3.4,0)--(3.4,-2));

draw((1,-2)..(2.2,-2.36)..(3.4,-2));

label("h",midpoint((3.4,0)--(3.4,-2)),E);

draw (((2.2,0)--(3.4,0)));

label("r=3",midpoint((2.2,0)--(3.4,0)),N);

[/asy]
Original LaTeX notation
The volume of the cylinder shown is $45\pi$ cubic cm. What is the height in centimeters of the cylinder? [asy]
size(120);
draw(shift(2.2,0)*yscale(0.3)*Circle((0,0), 1.2));

draw((1,0)--(1,-2));
draw((3.4,0)--(3.4,-2));

draw((1,-2)..(2.2,-2.36)..(3.4,-2));

label("$h$",midpoint((3.4,0)--(3.4,-2)),E);

draw (((2.2,0)--(3.4,0)));

label("$r=3$",midpoint((2.2,0)--(3.4,0)),N);

[/asy]

level

Level 2

type

Geometry

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Source and history

task_id
7c5af773-7e10-5547-93f8-6217df166e51
task_key
geometry--test--7c5af773-7e10-5547-93f8-6217df166e51
task_revision_id
1
config / split
geometry / test

Official source

initial import