UPSC CDS/OTA
Mensuration
Mathematics
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Mensuration

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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1MediumSolve →Q2A well of 11.2m diameter is dug 8m deep. The earth taken out has been spread all round it to a width of 7 m to form a circular embankment. Find the height of this embankment.MediumSolve →Q3If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes will be:MediumSolve →Q4From a right circular cylinder of base radius 15 cm and height 28 cm, a right circular cone of same base radius is removed(d) If the volume of the remaining part of the cylinder is 15400 cm₃ then find the height of the cone.MediumSolve →Q5A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is theMediumSolve →Q6The radius of the hemisphere is thrice that of a sphere. What is the ratio of total surfaceMediumSolve →Q7Find the % age increase in volume of the right circular cone if both height and radius are increased by 10%.MediumSolve →Q8MediumSolve →Q9The volume of a frustum of a cone is given as 777.92 cm₂. If its height is 12 cm andMediumSolve →Q10The base of a cone and a cylinder have the same radius 6cm. They also have the same height of 8 cm. The ratio of the curved surfaces of the cylinder to that of the cone isMediumSolve →
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