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

(Created page with "the answer's 21111/3")
 
m
Line 1: Line 1:
the answer's 21111/3
+
==Problem==
 +
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?
 +
 
 +
<math>\textbf{(A)} ~1.5 \qquad\textbf{(B)} ~3 \qquad\textbf{(C)} ~4 \qquad\textbf{(D)} ~4.5 \qquad\textbf{(E)} ~6</math>
 +
==Solution==
 +
A

Revision as of 18:41, 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