BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Water is leaking out from a cylinder container...

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

Water is leaking out from a cylinder container...

by BTGmoderatorLU » Thu Jan 11, 2018 7:47 am
Water is leaking out from cylinder container at the rate of 0.31 m^3 per minute. 10 minutes later, the water level decreases 0.25 meter. What is value of the radius?

(A) 0.5
(B) 1.0
(C) 1.5
(D) 2.0
(E) 2.5

The OA is D.

I'm confused with this PS question. Experts, any suggestion? How can I colve this question? Thanks in advance.
Top
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 555
Joined: Wed Oct 04, 2017 4:18 pm
Thanked: 180 times
Followed by:12 members

by EconomistGMATTutor » Thu Jan 11, 2018 8:42 am
Hello LUANDATO.

Let's take a look at your question.

The volume of a cylinder container is $$V=\pi\cdot r^2\cdot h .$$ Now, we know that after 10 minutes it has been leaked out $$0.31\cdot10=3.1\ m^3\ of\ water.$$ On the other hand the water has decreased 0.25 meter. We now can build a cylinder of volumen 3.1m^3 and height 0.25. Then $$3.1=\pi\cdot r^2\cdot0.25\ \Leftrightarrow\ \ r^2=3.947\ \Leftrightarrow\ r=1.98.$$ This is why the correct answer is the option D.

I hope this answer can help you.

I'm availbale if you'd like a follow-up.

Regards.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

Image
Top
Post new topic Post Reply
• Page 1 of 1