Difference between revisions of "2021 AMC 10A Problems/Problem 17"

Latest revision as of 23:37, 11 February 2021

Redirect to:

Revision as of 22:01, 11 February 2021 (view source) Cooljupiter (talk \| contribs) (→‎Video Solution by pi_is_3.14 (using Vandermonde's Identity)) ← Older edit		Latest revision as of 23:37, 11 February 2021 (view source) Firebolt360 (talk \| contribs) (Changed redirect target from 2021 AMC 12A Problems/Problem 10 to 2021 AMC 12A Problems/Problem 17) (Tag: Redirect target changed)
(4 intermediate revisions by one other user not shown)
Line 1:		Line 1:
−	~~Two right circular cones with their vertex faced down are filled with the same amount of liquid, and the radii of the top of the liquids are <math>3\text{cm}<~~/math> and <math>6\text{cm}</math> respectively. A spherical marble of radius <math>1\text{cm}</math> is submerged into the liquids of both cones. What is the ratio of the rise of the liquid level in the narrow cone to the rise of the liquid level in the wide cone?	+	#redirect [[2021 AMC 12A Problems/Problem 17]]
−
−	~~<math>\textbf{(A) } 1:1\qquad\textbf{(B) } 47:43\qquad\textbf{(C) } 2:1\qquad\textbf{(D) } 40:13\qquad\textbf{(E) } 4:1\qquad</math>~~