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Question 1
The base of a right pyramid is a square of side 43 cm long. If the volume of the pyramid is 7396
, then its height is:
, then its height is: Question 2
A football which is spherical in shape and of radius r is cut at a distance of h from its center, thereby breaking the football into two different spherical pieces. The cumulative surface area of these two football pieces is 25% more than that of the original football. Find the value of h?
Question 3
A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)
Question 4
The curved surface area of a hemisphere is 2772 sq cm and volume is 19404 cubic cm, what is its radius? (Take π = 22/7)
Question 5
The respective ratio of length and breadth of a rectangular field is 2 : 1. A 3 meter wide road is made around all sides out of the field. Area of this road is 360 m2. What is the length of this field?
Question 6
The ratio of total surface area and curved surface area of a cylinder is 7:5. if the total surface area of cylinder is 792cm2. find the height of cylinder.
Question 7
A solid cylinder has total surface area of 462 sq. cm. Curved surface area is 
rd of its total surface area. The volume of the cylinder is:
rd of its total surface area. The volume of the cylinder is:Question 8
The diameter of a solid copper sphere is 18 cm. It is melted and drawn into a wire of uniform cross section of length 108 cm. Then, the thickness of wire is:
Question 9
2/3 of a cubical water tank whose each side is 1.5m are emptied by 60 buckets. if all buckets are of same measure ,the volume of water removed by each bucket is:
Question 10
A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?
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Sep 27SSC & Railway
