a closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity. when the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. when the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
Mohammed
Guys, does anyone know the answer?
get a closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity. when the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. when the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground? from screen.
A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
Click here👆to get an answer to your question ✍️ A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
Question
A closed cylindrical tank contains 36π cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
A2
B3
C4
D6
E9
Medium Open in App Solution Verified by Toppr
Correct option is B)
Since the cylinder is half full, it will be filled to half its height, whether it is upright or on its side.When the cylinder is on its side, half its height is equal to its radius.
Using the information about the volume of water in the upright cylinder, solve for this radius to determine the height of the water when the cylinder is on its side.
V=πr 2 h volume=(π)(radius 2 )(height) 36π=πr 2
h known volume of water is 36π
36=r 2
(4) substitute 4 for h; divide both sides by π
9=r 2 solve for r
3=r radius=height of the water in the cylinder on its side
The correct answer is B.
Was this answer helpful?
2 1
A closed cylindrical tank contains 36pi cubic feet of water and is fil : Problem Solving (PS)
A closed cylindrical tank contains 36\pi cubic feet of water and is filled to half its capacity. When the tank is placed upright on its ...
Forum Home GMAT Quantitative
Problem Solving (PS)
Unanswered Active Topics Register GMAT Club Tests Decision Tracker My Rewards New posts New comers' posts
A closed cylindrical tank contains 36pi cubic feet of water and is fil
14 POSTS
Go to First Unread Post
Print view NEW TOPIC SORT BY: Date Kudos L
BunuelMath Expert
Joined: 02 Sep 2009
Posts: 87830
A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]
14 Jun 2012, 01:54 9 Kudos 186 Bookmarks Expert Reply 00:00 A B C D E
SHOW TIMER STATISTICS
A closed cylindrical tank contains
36π 36π
cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 2 (B) 3 (C) 4 (D) 6 (E) 9
Notice that some editions of OG have a typo saying that the height of the water in the tank is 2 feet, it should read "the height of the water in the tank is 4 feet".
Show Answer _________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL.
Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant
Questions' Bank By Tags and Difficulty: GMAT Club's Complete Questions' Bank
My Signature Questions' Collection:
Bunuel's Signature Questions' Collection
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Expert Reply
L
BunuelMath Expert
Joined: 02 Sep 2009
Posts: 87830
A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]
14 Jun 2012, 01:54 30 Kudos 40 Bookmarks Expert Reply SOLUTION
Notice that some editions of OG have a typo saying that the height of the water in the tank is 2 feet, it should read "the height of the water in the tank is 4 feet".
A closed cylindrical tank contains 36pi cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 2 (B) 3 (C) 4 (D) 6 (E) 9
Look at the diagram below:
Since the tank is half full when placed upright then naturally it'll also be half full when placed on its side, so the level of the water (when placed that way) will be half of the diameter, so
r r . Now, given that V water =π∗ r 2 ∗ H water Vwater=π∗r2∗Hwater ; 36π=π r 2 ∗4 36π=πr2∗4 ; r=3 r=3 . Answer: B. Show Spoiler _________________
New to the GMAT CLUB Forum?
Posting Rules: QUANTITATIVE | VERBAL.
Guides and Resources: QUANTITATIVE | VERBAL | Ultimate GMAT Quantitative Megathread | All You Need for Quant
Questions' Bank By Tags and Difficulty: GMAT Club's Complete Questions' Bank
My Signature Questions' Collection:
Bunuel's Signature Questions' Collection
What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Community Reply
gnanIntern
Joined: 25 May 2012
Status:ISB 14...:) Posts: 22 Location: India
Concentration: Strategy
Schools: ISB '14 (A)
GMAT 1: 750 Q51 V39 GPA: 3.62
WE:Engineering (Energy and Utilities)
Re: A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]
14 Jun 2012, 10:11 10 Kudos
Volume of water inside cylinder = 36pi = pi
r 2 r2 h
Here water is filled up to a height of 2 feet, so h=2
r 2 r2 = 18 r=3 sqrt2 sqrt2
There might be a mistake in the given problem.
General Discussion
zikoManager
Joined: 28 Feb 2012
Posts: 95
Concentration: Strategy, International Business
Schools: INSEAD Jan '13
GPA: 3.9
WE:Marketing (Other)
Re: A closed cylindrical tank contains 36pi cubic feet of water and is fil [#permalink]
16 Jun 2012, 02:56 3 Kudos 1 Bookmarks gnan wrote:
Volume of water inside cylinder = 36pi = pi
r 2 r2 h
Here water is filled up to a height of 2 feet, so h=2
r 2 r2 = 18 r=3 sqrt2 sqrt2
There might be a mistake in the given problem.
I agree to your comment partially, in my opinion this question has some ambiguity when it states that the tank contains 36pi cubic feet of water and is filled to half its capacity, so we may assume that 36pi is the volume when half capacity. So it would be better to state that the tank, when full, can be filled with 36pi or the full capacity of the tank is 36pi, or something alike. But i think this is one of the small tricks of GMAT. But anyway if you solved this way and did not come up with answer you should see what else GMAT could think by saying 36pi, then you see that only possible answer is 3 (B)
A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level
Answer to: A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity. When the tank is placed upright on its...
Tech and Engineering
A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity....
A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity.... Question:
A closed cylindrical tank contains 36 cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
Cylinders- Volume of The Shape:
In geometrical mathematics, a shape is known as a cylinder that contains two circular bases that are parallelly aligned with respect to each other and there is a lateral surface associated in between both the bases of the shape and all the cylinders are three-dimensional shapes.
The length connecting the parallel bases of a cylindrical shape is known as the height of the cylinder.
The radius of the bases of a cylindrical shape is equal.
Let {eq}r {/eq} is the radius of a cylindrical geometry and the {eq}h {/eq} is the height of the shape than the volume of the cylindrical figure-
$$V = \pi r^{2} h $$
whose {eq}V {/eq} is the volume of the cylindrical shape
Answer and Explanation:
Become a Study.com member to unlock this answer! Create your account
View this answer
Given that a closed cylindrical tank contains {eq}36 \rm ~ft^{3} {/eq} of water and is filled to half its capacity. When the tank is placed upright...
See full answer below.
Become a member and unlock all Study Answers
Start today. Try it now
Create an account
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question
Search Answers
Learn more about this topic:
Cylinder: Definition, Surface Area & Volume
from
Chapter 11 / Lesson 5
32K
Learn to define the general shape, surface area, and volume of a cylinder. Discover the formulas for calculating the surface area and volume of a cylinder, and see examples of these formulas in action.
Related to this Question
An open tank has the shape of a right circular cone. The tank is 8 feet across the top and 6 feet high. Water is pumped in through the bottom of the tank. (The water weighs 62.4 lb per cubic foot.) H
Water is draining from a conical tank with height 12 feet and diameter 8 feet into a cylindrical tank below that has a base area 400 \pi square feet. The depth h, in feet, of the water in the conic
A cylindrical tank filled with water (the density of the water is 1000 kg/m^3). The ends of the tank are circular disks (perpendicular to the ground) with radius 10 m. If the height of the water is 5
Water is running into an open conical tank at the rate of 9 cubic feet per minute. The tank is standing inverted and has a height of 10 feet and a base diameter of 10 feet. At what rate is the radius
A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel with diameter 1 meter is open. The height of the barrel is 1.8 meter and it is filled to a depth
A tank has the shape of an inverted circular cone (point at the bottom) with height 4 feet and radius 4 feet. The tank is full of water. We pump out water (to a pipe at the top of the tank) until the
A cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 4 cubic feet per minute. The radius of the tank is 2 feet. How fast is the level of the water in the tank rising when the tank is half full?
Water is running into an open conical tank at the rate of 9 cubic feet/minute. The tank is standing inverted, and has a height of 10 feet and a base diameter of 10 feet. At what rate is the exposed su
A water tank is in the shape of a cone with vertex at the bottom of the tank. The radius at the top of the tank is 5 feet and the height of the tank is 13 feet. The tank is filled with water to height of 7 feet. The weight density of water is 62.4 pounds
An underground tank full of water has the following shape: Hemisphere - 5 m radius. at the bottom Cylinder - radius 5 m and height 10m in the middle Circular cone radius 5 m and height 4 m at the top
A tank is in the shape of a right circular cone. The height of the tank is 8 feet, the radius at the bottom is 4 feet and the tank is currently filled with a liquid to a height of 6 feet. The liquid weighs 50 pound per cubic feet and is to be pumped out t
You are standing 14 feet from the edge of a cylindrical water tank and 26 feet from a point of tangency. The tank is 10 feet tall. What is the volume of the tank in cubic feet?
A tank has a shape of an inverted circular with height 10m and base radius 4m. It is filled with water to a height of 8m. Find the work required to empty the tank by pumping all of the water of the top of the tank. (The density of the water is 1000kg/m3)
A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter. How fast does the water level in the tank drop when the water is being drained at 3 liters per second?
1. There is a conical tank that is 5 ft tall and has a base with radius 10 ft containing water. The tank is point down and the water is draining at a rate of 5 ft3/s.
A cylindrical barrel, standing upright on its circular end, contains muddy water. The top of the barrel, which has diameter 1 meter, is open. The height of the barrel is 1.8 meter and it is filled to
Guys, does anyone know the answer?