Difference between revisions of "2021 AMC 10B Problems/Problem 10"

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==Problem==
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An inverted cone with base radius <math>12 cm</math> and height <math>18 cm</math> is full of water. The water is poured into a tall cylinder whose horizontal base has radius of <math>24 cm</math>. What is the height in centimeters of the water in the cylinder?
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<math>\textbf{(A)} ~1.5 \qquad\textbf{(B)} ~3 \qquad\textbf{(C)} ~4 \qquad\textbf{(D)} ~4.5 \qquad\textbf{(E)} ~6</math>
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==Solution==
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A

Revision as of 17:41, 11 February 2021

Problem

An inverted cone with base radius $12 cm$ and height $18 cm$ is full of water. The water is poured into a tall cylinder whose horizontal base has radius of $24 cm$. What is the height in centimeters of the water in the cylinder?

$\textbf{(A)} ~1.5 \qquad\textbf{(B)} ~3 \qquad\textbf{(C)} ~4 \qquad\textbf{(D)} ~4.5 \qquad\textbf{(E)} ~6$

Solution

A