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Sphere Questions

Practice 18 Sphere questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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18
Total Questions
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2
Easy
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15
Medium
🔴
1
Hard
Practice by Exam:Quantitative Aptitude(15)Mathematics(3)

About Sphere — practice questions, PYQs & concepts

Sphere is a frequently-tested topic on Quantitative Aptitude, Mathematics. ExamTest.live currently lists 18 Sphere questions spanning previous-year papers from 2026 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.

Sphere weight in competitive exams

Across our Sphere question bank, the largest sources are Quantitative Aptitude (15) and Mathematics (3). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 2 easy Sphere 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 Sphere Questions(1–18 of 18)

Filter:
Q1mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
7% accuracy
If the radius of a sphere is increased by , then what is the percentage (correct to two decimal places) increase in its volume?
Q2mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The surface area (in ) of a sphere, whose diameter is , is: (Take )
Q3mediummcqQuantitative AptitudeSSC CGL2026
50% accuracy
What is the radius of a sphere having a volume of 38808cm
3
? (Use π=
7
22
​
)
Q4mediummcqMathematicsAIEEE 20072026
0% accuracy
If is one end of a diameter of the sphere , then the coordinates of the other end of the diameter are:
Q5hardmcqQuantitative AptitudeSSC CGL2026
0% accuracy
A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is:
Q6mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The number of balls of radius that can be made from a solid sphere of radius is:
Q7mediummcqQuantitative AptitudePrepp2026
A copper sphere of diameter is drawn into a wire of diameter . What is the length (in ) of the wire? (Where )
Q8easymcqQuantitative AptitudeSSC CGL2026
The largest sphere is carved out of a cube of side . What is the volume of the sphere in ? (Take )
Q9mediummcqQuantitative AptitudeCompetitive Exam2026
If the radius of a sphere is increased by 2cm, its surface area increases by 704cm
2
. What was the radius of the sphere before the increase? (Use π=
7
22
​
)
Q10mediummcqQuantitative AptitudePractice Test2026
A sphere has a radius of . What is its volume? (Use )
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
The radii of the two spheres are in the ratio 4:3. What is the ratio between their volumes?
Q12mediummcqQuantitative AptitudeCompetitive Exam2026
The volume of a solid sphere is 4851 m
3
. What is the surface area of the sphere? (Take π=
7
22
​
)
Q13mediummcqQuantitative 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?
Q14mediummcqQuantitative AptitudePrepp2026
The length of the largest possible rod that can be placed in a cubical room is . The surface area (in ) of the largest possible sphere that fit within the cubical room is: [Use ]
Q15mediummcqMathematicsAIEEE-CBSE-ENG-032026
The radius of the circle in which the sphere is cut by the plane is:
Q16easymcqQuantitative AptitudeCompetitive Exam2026
If the surface areas of two spheres are in the ratio of 9: 49, then the ratio of their volumes is:
Q17mediummcqQuantitative AptitudeSSC CGL2026
The surface area of a sphere is 2464 cm
2
. Calculate its volume. (Use π=
7
22
​
)
Q18mediummcqMathematicsAIEEE-CBSE-ENG-032026
The shortest distance from the plane to the sphere is:

Frequently Asked Questions

How many Sphere questions are on ExamTest.live?▼
We have 18 Sphere questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Sphere MCQs free?▼
Yes. All Sphere questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Sphere questions?▼
Sphere questions are commonly asked in Quantitative Aptitude, Mathematics. You can filter by exam using the links above.
How do I practice Sphere 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.