2021 AMC 10B Problems/Problem 10

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

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2021 AMC 10B Problems/Problem 10

Problem

Solution