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Question 1
If the areas of three adjacent faces of a rectangular box(cuboid) which meet in a corner are 12 cm2, 15 cm2 and 20 cm2 respectively. Then the volume of the box is:
Question 2
The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
Question 3
Radius of a sphere is equal to the side of a cube. Express the volume of the cube as percentage of volume of sphere.
Question 4
The radius of a cone is 
times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?
times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube? Question 5
The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 
The of the volume of the given cone, at what height above the base is the section made?
The of the volume of the given cone, at what height above the base is the section made? Question 6
The volume of two hemisphere are in the ratio 8 : 27. What is the ratio of their radii?
Question 7
A metallic sphere of radius 18 cm is melted and drawn into a wire, whose radius of cross section is 24 cm. What is the length of the wire?
Question 8
A right circular cylindrical tunnel of diameter 5m and length 10m is to be constructed from a sheet of iron. The area of iron sheet required will be:
Question 9
On a rainy day, 60cm of rain is recorded in a region. What is the volume of water collected in an open and empty rectangular water tank that measures 12 m x 10m and 50 cm?
Question 10
The base of a prism is a right angled triangle with two sides 5 cm and 12 cm. The height of the prism is 10 cm. The total surface area of the prism is
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May 5SSC & Railway
