Last visit was: 12 Jul 2024, 16:57 It is currently 12 Jul 2024, 16:57
Toolkit
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Request Expert Reply

# A factory makes barrels of the same shape but different sizes; the

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94302
Own Kudos [?]: 640179 [1]
Given Kudos: 84576
Senior Manager
Joined: 17 Jun 2022
Posts: 250
Own Kudos [?]: 126 [1]
Given Kudos: 67
CEO
Joined: 07 Mar 2019
Posts: 2615
Own Kudos [?]: 1864 [2]
Given Kudos: 763
Location: India
WE:Sales (Energy and Utilities)
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3139
Own Kudos [?]: 4989 [1]
Given Kudos: 1859
Location: India
Concentration: Strategy, Leadership
A factory makes barrels of the same shape but different sizes; the [#permalink]
1
Kudos
Given

Volume is directly proportional to $$(height)^3$$

So we can express as

V = k.$$h^3$$ ; k is constant

When h = 4, V = 20

20 = k * $$4^3$$

k = $$\frac{20}{4^3}$$

Question : V when h = 6

V = $$\frac{20}{4^3}* 6^3$$

V = $$\frac{5}{2}* 3^3$$

V= $$\frac{135}{2}$$

= $$67\frac{1}{2}$$

Option B
A factory makes barrels of the same shape but different sizes; the [#permalink]
Moderator:
Math Expert
94302 posts