A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2 by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GMAT Exam > GMAT Questions > A right circular cylinder having the radius o...

Join the Discussion on the App

A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?

a)
0.5
b)
1
c)
1.5
d)
2
e)
2.5

Correct answer is option 'D'. Can you explain this answer?

FREE This question is part of

Test: Rectangular Solids- 2

Attempt Test

Attempt this Test

Verified Answer

A right circular cylinder having the radius of its base as 2 centimete...

Given

Water is filled in a right circular cylinder
- Radius = 2 centimeters
- Height of water in the cylinder = 2 centimeters
Rectangular container with base dimensions as 2π by 3 centimeters
Volume of the water in the container is increased by 50%

To Find:

The height of the water in the container.

Approach and Working:

The total volume of water in the rectangular container = Area of the base of the rectangular container * Height of the water in the rectangular container.

As we know the dimensions of the base of the rectangular container we can calculate the area of its base.
So, we need to find the total volume of water in the rectangular container to find the height of the water in the rectangular container

Total Volume of water in the rectangular container = Initial volume of water + 50% of the initial volume of water.

Now, we know that Initial volume of water = volume of water in the cylinder
As we know the radius of the cylinder and the height of the water in the cylinder, we can calculate the volume of water in the cylinder.

Area of the base of the rectangular container = 2π * 3 = 6π
Volume of the rectangular container = Area of base * Height = 6π * H………(i)
Total volume of water in the rectangular container = Initial volume of water + 50% of initial volume of water
Initial volume of water = volume of water in the cylinder = π * 2² * 2
Total volume of water in the rectangular container = 8π * 1.5 = 12π…………. (ii)
Equating (i) and (ii), we get –
- 6π * H = 12π
- H = 2 centimeters
Thus, the correct answer is Option D.

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for GMAT exam

Similar GMAT Doubts

Experts anticipate that global atmospheric concentrations of carbon dioxide (CO2) will have doubled by the end of the twenty-first century. It is known that CO2 can contribute to global warming by (5) trapping solar energy that is being reradiated as heat from the Earth’s surface. However, some research has suggested that elevated CO2 levels could enhance the photosynthetic rates of plants, resulting in a lush world of agricultural abundance, and that this CO2 (10) fertilization effect might eventually decrease the rate of global warming. The increased vegetation in such an environment could be counted on to draw more CO2 from the atmosphere. The level of CO2 would thus increase at a lower rate than many experts have (15) predicted.However, while a number of recent studies confirm that plant growth would be generally enhanced in an atmosphere rich in CO2, they also suggest that increased CO2 would differentially increase the growth (20) rate of different species of plants, which could eventually result in decreased agricultural yields. Certain important crops such as corn and sugarcane that currently have higher photosynthetic efficiencies than other plants may lose that edge in an atmosphere (25) rich in CO2. Patterson and Flint have shown that these important crops may experience yield reductions because of the increased performance of certain weeds. Such differences in growth rates between plant species could also alter ecosystem stability. Studies have (30) shown that within rangeland regions, for example, a weedy grass grows much better with plentiful CO2 than do three other grasses. Because this weedy grass predisposes land to burning, its potential increase may lead to greater numbers of and more severe wildfires in (35) future rangeland communities.It is clear that the CO2 fertilization effect does not guarantee the lush world of agricultural abundance that once seemed likely, but what about the potential for the increased uptake of CO2 to decrease the rate of global (40) warming? Some studies suggest that the changes accompanying global warming will not improve the ability of terrestrial ecosystems to absorb CO2. Billings’ simulation of global warming conditions in wet tundra grasslands showed that the level of CO2 (45) actually increased. Plant growth did increase under these conditions because of warmer temperatures and increased CO2 levels. But as the permafrost melted, more peat (accumulated dead plant material) began to decompose. This process in turn liberated more CO2 to (50) the atmosphere. Billings estimated that if summer temperatures rose four degrees Celsius, the tundra would liberate 50 percent more CO2 than it does currently. In a warmer world, increased plant growth, which could absorb CO2 from the atmosphere, would (55) not compensate for this rapid increase in decomposition rates. This observation is particularly important because high-latitude habitats such as the tundra are expected to experience the greatest temperature increase.The passage suggests that the hypothesis mentioned in the first paragraph is not entirely accurate because it fails to take into account which one of the following in predicting the effects of increased vegetation on the rate of global warming?

View answer

A right circular cylinder of height 1 meter and radius 92 centimeters is to be used to store cubes of side length 3 cm each. If in each layer of cubes stored in the cylinder, the cubes are arranged such that the top view of the layer is a square, what is the maximum number of cubes that can be stored in the cylinder? (1 meter = 100 centimeters)

View answer

A circular microchip with a radius of 2 centimeters is manufactured following a blueprint scaled such that a measurement of 1 centimeter on the blueprint corresponds to a measurement of 0.8 millimeters on the microchip. What is the diameter of the blueprint representation of the microchip, in centimeters? (1 centimeter = 10 millimeters)

View answer

How many books will fit into a drawer?(1) Each book has a volume of 10 cubic centimeters.(2) The drawer is 300 centimeters by 30 centimeters by 20 centimeters and has the shape of a rectangular solid.

View answer

In a rectangular box of dimensions 20 centimetres by 20 centimetres by 100 centimetres, identical spherical balls are arranged in layers such that each layer has exactly 4 balls. The top view of this arrangement is shown in the figure above. What is the approximate percentage of space left empty inside the box, if the box contains the maximum possible number of layers of such spherical balls? (The volume of a sphere is , where r is the radius of the spher e)

View answer

Top Courses for GMATView all

GMAT Focus Edition Mock Test Series 2024

Quantitative for GMAT

Crash Course for GMAT

Data Insights for GMAT

100 RCs for GMAT

Top Courses for GMAT

View all

Share with a Friend

Answer this doubt

Question Description
A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer?.

Solutions for A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Here you can find the meaning of A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A right circular cylinder having the radius of its base as 2 centimeters is filled with water upto a height of 2 centimeters. This water is then poured into an empty rectangular container the dimensions of whose base are 2π by 3 centimeters. If the volume of water in the rectangular container is increased by 50 percent by adding extra water, what is the final height, in centimeters, of the water level in centimeters in the rectangular container?a)0.5b)1c)1.5d)2e)2.5Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.

Explore Courses for GMAT exam