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MATH / Two cones have the same volume. If one has a base with radius 3 times as large…

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problem

Two cones have the same volume. If one has a base with radius 3 times as large as the other's and a height of 24 inches, how many inches tall is the other? Note: The volume of a cone is 13πr2h,\frac{1}{3} \pi r^2 h, where rr is the radius and hh is the height.
Plain-text mathematical notation (without MathML)
Two cones have the same volume. If one has a base with radius 3 times as large as the other's and a height of 24 inches, how many inches tall is the other?

Note: The volume of a cone is (1)/(3)πr²h, where r is the radius and h is the height.
Original LaTeX notation
Two cones have the same volume. If one has a base with radius 3 times as large as the other's and a height of 24 inches, how many inches tall is the other?

Note: The volume of a cone is $\frac{1}{3} \pi r^2 h,$ where $r$ is the radius and $h$ is the height.

level

Level 5

type

Algebra

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