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Volume Questions

Practice 53 Volume questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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53
Total Questions
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2
Easy
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50
Medium
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1
Hard
Practice by Exam:Quantitative Aptitude(41)Mathematics(3)Mensuration(3)Mathematics and Science(2)Quantitative Aptitude@NUM: 52(1)Quantitative Aptitude@NUM: 59(1)Physics(1)Chemistry(1)

About Volume — practice questions, PYQs & concepts

Volume is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mensuration. ExamTest.live currently lists 53 Volume questions spanning previous-year papers from 2017 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Volume weight in competitive exams

Across our Volume question bank, the largest sources are Quantitative Aptitude (41), Mathematics (3), Mensuration (3), Mathematics and Science (2) and Quantitative Aptitude@NUM: 52 (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy Volume questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Volume Questions(1–53 of 53)

Filter:
Q1mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
Find the rate of change of the volume of a cube when the side of the cube is , given that the side is changing at a rate of .
Q2mediummcqQuantitative AptitudeCompetitive Exam Practice2026
33% accuracy
The number of balls of radius that can be made from a solid sphere of radius is:
Q3mediummcqQuantitative AptitudeWest Bengal Civil Services2026
0% accuracy
If percent increase in radius of cylinder is 300, then volume of the cylinder changes by how much percent? (Keeping height of the cylinder constant)
Q4mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The surface area of a sphere is 2464 cm
2
. Calculate its volume. (Use π=
7
22
​
)
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A hollow copper pipe is 22cm long and its external diameter is 28cm. If the thickness of the pipe is 3cm and iron weighs 8.5g/cm
3
, then the weight of the pipe is closest to:
Q6mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A right triangle with sides 5cm,12cm and 13cm is rotated about the side 12cm to form a cone. The volume of the cone so formed is:
Q7mediummcqMensurationSSC CGL2026
100% accuracy
Curved surface area of a cylinder is 440 sq cm. If circumference of its base is 44 cm, what is the volume of the cylinder? (Take π=22/7)
Q8mediummcqMensurationSSC CGL2026
0% accuracy
If a cylinder of radius 4.3 cm and height 4.8 cm is melted and constructed into a cone of the same radius, what will be the height of this cone? (Use π=22/7)
Q9mediummcqQuantitative Aptitude@NUM: 59SSC CGL2026
0% accuracy
If a cone of radius and height is melted and constructed into a cylinder of the same radius, what will be the height of this cylinder? (Take )
Q10mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
A cone of radius and height is completely filled with water. This water is emptied into an empty cylindrical vessel of radius . What will be the height of water in this vessel?
Q11mediummcqMensurationCompetitive Exam2026
0% accuracy
The height of a cylinder and its volume are 15cm and 2310cm
3
, respectively. Find the total surface area.
Q12mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the volume (in cm
3
) of a sphere of diameter 21 cm.
Q13mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The volume of a cube is . Find its side (in ).
Q14mediummcqQuantitative AptitudePrepp2026
0% accuracy
The rim (circular boundary) of a hemispherical bowl is . Assuming the bowl is completely filled, how many people can be served if the content is distributed into hemispherical glasses, where each glass has a top diameter of ? (Take )
Q15mediummcqQuantitative AptitudeSSC CGL2026
If a cylinder of radius 4cm and height 8cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
Q16mediummcqQuantitative AptitudeSSC CGL2026
The length of a wire (in m) of 0.5mm radius that can be drawn after melting a solid copper sphere of diameter 12cm is:
Q17mediummcqQuantitative AptitudeWBCS Prelims2026
A hemisphere can with internal radius of is completely filled with water. Someone is requested to fill this water in a cylindrical bottle with a diameter of and height of . The number of bottles to be required to make the can empty is
Q18mediummcqQuantitative AptitudeCompetitive Exam2026
An article is of size 9cm×6cm×3cm. The number of such articles that can be packed in a box measuring 63cm×42cm×21cm is:
Q19mediummcqQuantitative AptitudeCompetitive Exam2026
If the percentage increase in the radius of a cylinder is , then by what percentage does the volume of the cylinder change, keeping the height of the cylinder constant?
Q20mediummcqQuantitative AptitudeCompetitive Exam2026
Three cubes of edges , and are melted without loss of metal into a single cube. The edge of the new cube will be:
Q21mediummcqQuantitative AptitudeSSC CGL2026
A cone of height and diameter is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?
Q22mediummcqQuantitative AptitudeWBCS Mains2026
If the radius and height of a cone are each increased by , then the volume of the cone is increased by:
Q23mediummcqQuantitative AptitudeCompetitive Exam2026
A conical container of base diameter and height is full of water which is poured into a cylindrical container of diameter . Then it will occupy a height equal to:
Q24easymcqQuantitative AptitudeStaff Selection Commission2026
Find the volume (in ) of a cuboid of length, breadth, and height of , , and respectively.
Q25mediummcqQuantitative AptitudeCompetitive Exam2026
A right circular cone, a right circular cylinder and a hemisphere all have the same radius, and the heights of the cone and cylinder equal their diameters. Then their volumes are proportional respectively to:
Q26mediummcqQuantitative AptitudeSSC CGL2026
A cone of radius 3.5cm and height 12cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 7cm. What will be the height of water in this vessel?
Q27mediummcqQuantitative AptitudeCompetitive Exam2026
Three solid spheres of gold whose radii are , and respectively are melted into a single solid sphere. Then the radius of the sphere is:
Q28mediummcqQuantitative AptitudeWBCS Mains2026
The lateral surface area of a right circular cone is three times the volume of that cone. If the height and the radius of the cone are and respectively, then is equal to:
Q29mediummcqQuantitative AptitudeUP Police Constable2026
A sphere of radius is moulded to form a cylinder of radius . Find the height of the cylinder.
Q30mediummcqMathematicsCompetitive Exams2026
A hemispherical can with an internal radius of is completely filled with water. Someone is requested to fill this water into cylindrical bottles, each with a diameter of and a height of . The number of bottles required to empty the can is:
Q31mediummcqQuantitative AptitudeWBCS Mains2026
A hemispherical bowl is made of a steel sheet thick. The inside radius of the bowl is . The volume of steel used in making it is approximately:
Q32mediummcqQuantitative AptitudeCompetitive Exam2026
A solid metallic sphere of radius 4 cm is melted and recast into 4 identical cubes. What is the side of the cube?
Q33hardmcqPhysicsNEET 20222026
The volume occupied by the molecules contained in water at STP, if the intermolecular forces vanish away is:
Q34mediummcqMathematicsAIEEE 20122026
A spherical balloon is filled with cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases minutes after the leakage began is:
Q35mediummcqQuantitative AptitudePrepp2026
A hemispherical bowl is round the brim. Assuming it to be full, how many persons may be served from it in hemispherical glasses, in diameter at the top? (Where )
Q36mediummcqQuantitative AptitudeCompetitive Exam2026
How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height?
Q37mediummcqQuantitative AptitudeCompetitive Exam2026
The radius and height of a cylinder are in the ratio 7:13 and its volume is 6006 cm
3
. Its radius will be: (Use π=
7
22
​
)
Q38mediummcqQuantitative AptitudeCompetitive Exam2026
The dimensions of a pond are 20m, 14m and 6m. Find the capacity of the pond.
Q39mediummcqQuantitative AptitudePrepp2026
The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are , and , then find the ratio of the total surface area of the cube to that of the cuboid.
Q40mediummcqQuantitative AptitudePrepp2026
A copper sphere of diameter is drawn into a wire of diameter . What is the length (in ) of the wire? (Where )
Q41mediummcqQuantitative AptitudeSSC GD Constable2026
A cone with radius 7m is 6m high. Find the volume (in m
3
) of the cone. (Take π=
7
22
​
)
Q42mediummcqQuantitative AptitudePractice Mock2026
A hemisphere has 14cm diameter. Find its volume.
Q43mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
​
)
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
The radii of the two spheres are in the ratio 4:3. What is the ratio between their volumes?
Q45mediummcqQuantitative AptitudePractice Test2026
A sphere has a radius of . What is its volume? (Use )
Q46mediummcqQuantitative AptitudeCompetitive Exams2026
The radius of a hemisphere is 9cm. Its volume will be:
Q47mediummcqQuantitative AptitudeCompetitive Exam2026
The height of one cone is 3 times the height of another cone, while its radius is half of the radius of the other cone. If their total volume is 100unit
3
, then the difference in the volumes of the cones is _______ unit
3
.
Q48mediummcqQuantitative AptitudeCompetitive Exam2026
A cube has a surface area of 5400square units. Its volume would increase approximately _______ if the side is increased by 5units.
Q49mediummcqQuantitative Aptitude@NUM: 52SSC CGL2026
How many spherical balls each of radius can be made out of a solid metallic cube of edge ? (Take )
Q50mediummcqQuantitative AptitudeSSC CGL2026
Melting a hemisphere of radius 7 cm, four small identical spheres are made. What is the radius of these spheres?
Q51mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The ratio of the heights of two right circular cones is and the ratio of their diameters is . The ratio of their volumes is
Q52mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The ratio of the heights of two right circular cones is 25:64 and the ratio of their diameters is 4:5. The ratio of their volumes is
Q53easymcqChemistryChemistry
Volume occupied by one molecule of water (density ) is:

Frequently Asked Questions

How many Volume questions are on ExamTest.live?▼
We have 53 Volume questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Volume MCQs free?▼
Yes. All Volume questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Volume questions?▼
Volume questions are commonly asked in Quantitative Aptitude, Mathematics, Mensuration, Mathematics and Science, Quantitative Aptitude@NUM: 52. You can filter by exam using the links above.
How do I practice Volume questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.