Mensuration Questions and Answers updated daily – Aptitude



462 Mensuration Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Mensuration online test. Mensuration Questions with detailed description, explanation will help you to master the topic.

Mensuration Questions

1. Find the volume of the sphere which has radius 7 units.



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Correct Ans:1437.33
Explanation:
Given radius = r =7 units
Formula:- Volume of Sphere = 4/3 Pi r3
= 4/3 * (22/7) * 7^3
= 4/3 * 22 * 49
= 1437.33 units


2. A tent is in the form of cone with radius and height 99 units and 2 units respectively. Find the volume of the cone.



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Correct Ans:20535.43
Explanation:
Given, radius = 99 units
Height = 2 units
Volume of the cone = (1/3) * pi * r^2 * h
= (1/3) * (22/7) * 99 * 99 * 2
= 20535.43
Therefore, Volume of the cone = 20535.43


3. Find the volume of the prism which has base area 54 sq. units and height to be given as 18units.



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Correct Ans:972
Explanation:


4. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 24 and 15 units



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Correct Ans:3469.01
Explanation:


5. A tent is in the form of cone with radius and height 78 units and 12 units respectively. Find the volume of the cone



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Correct Ans:76484.57
Explanation:


6. Find the volume of the sphere which has radius 16 units  



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Correct Ans:17164.19
Explanation:


7. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 99 and 18 units



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Correct Ans:37000.54
Explanation:


8. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 24 and 20 units



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Correct Ans:4320.18
Explanation:


9. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 98 and 16 units



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Correct Ans:35576.89
Explanation:


10. Two spheres of radius 14 and 7 units are melted and made into one sphere. Find the the volume of the final sphere.



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Correct Ans:12936
Explanation:


11. Find the curved surface area of the cone if the radius and height are 72 units and 4 units respectively.



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Correct Ans:16317.69
Explanation:


12. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 42 and 10 units



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Correct Ans:7055.88
Explanation:


13. Find the volume of the sphere which has radius 17 units



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Correct Ans:20587.81
Explanation:


14. Find the curved surface area of the cone if the radius and height are 7 units and 13 units respectively.



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Correct Ans:324.83
Explanation:


15. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 8 and 21 units



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Correct Ans:2048.18
Explanation:


16. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 83 and 2 units



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Correct Ans:22179.29
Explanation:


17. Find the volume of the sphere which has radius 3 units



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Correct Ans:113.14
Explanation:


18. A bucket is in the form of a frustum and needs to be painted. Find the area if the radius are 50 and 21 units



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Correct Ans:12101.26
Explanation:


19. Find the curved surface area of the cone if the radius and height are 24 units and 20 units respectively. 



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Correct Ans:2356.46
Explanation:
Given, radius = 24 units
Height = 20 units

Curved surface area of the cone = pi * r * L
where, L = sqrt(r^2 + h^2)
=> L = sqrt(24^2 + 20^2)
=> L = sqrt(576 + 400)
=> L = sqrt(976)
=> L = 31.24

Subs L = 31.24 in the formula: Curved surface area of the cone = pi * r * L
=> Curved surface area of the cone = (22/7) * 24 * 31.24
=> Curved surface area of the cone = 2356.39


20. Find the volume of the sphere which has radius 31 units



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Correct Ans:124838.48
Explanation:





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