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Question 1
Diagonal of a cube is 6√3 cm. Ratio of its total surface area and volume is
Question 2
If the height and radius of a right circular cylinder and that of the hemisphere are all equal, the ratio of the volume of the hemisphere and the cylinder is:
Question 3
In a cylindrical vessel of diameter 24 cm, filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Then the Increase in height of water level is :
Question 4
Which of these pipes will empty a pool the fastest?
i. One pipe of diameter 60 cm
ii. Two pipes of diameter 30 cm each
iii. Three pipes of diameter 20 cm each
i. One pipe of diameter 60 cm
ii. Two pipes of diameter 30 cm each
iii. Three pipes of diameter 20 cm each
Question 5
Each edge of a regular tetrahedron is 3 cm, then its volume is
Question 6
The dimensions of a room are 24 feet x 18 feet x 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet x 4 feet and three windows of dimensions 6 feet x 3 feet each?
Question 7
The percentage increase in the surface area of a cube when each side is doubled is:
Question 8
If a right circular cone is separated into solids of volumes V1, V 2, V3 by two planes parallel to the base, which also trisect the altitude, then V1: V2 : V3 is
Question 9
A solid sphere of radius 12 cm is melted and recast into spherical balls of 1 cm radius. The total number of such spherical balls formed is
Question 10
A sector is formed by opening out a cone of base radius 8 cm and height 6 cm. Then the radius of the sector is (in cm)
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Nov 18SSC & Railway
