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Question 1
A solid metallic sphere of radius 8.4 cm is melted and recast into a right circular cylinder of radius 12 cm. What is the height of the cylinder? (Your answer should be correct to one decimal place.)
Question 2
The radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27 : 16. What is the ratio of their heights?
Question 3
A metallic sphere of radius 25 cm is melted into small spheres of diameter 1 cm. How many such small spheres can be made from the large sphere?
Question 4
The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm2) of the remaining solid?
Question 5
The curved surface area of a cylinder is 25344 cm and its height is 32 cm. What is the volume of a cylinder whose capacity is times the volume of the given cylinder?
Question 6
The volume (in cubic cm) of a right circular cylinder with radius 7 cm and height 2 cm is:
Question 7
A hemispherical vessel of internal radius 15 cm is full of a liquid. This vessel is to be emptied by a cylindrical bottle of radius 3 cm and height 10 cm. How many such bottles are required to empty the bowl?
Question 8
The edge of a cube is 8 cm. What is the total surface area of the cube?
Question 9
15 cylindrical containers each of radius of 3.5 cm and height 20 cm are placed together in a cuboidal box as shown in the figure. What is the volume of the empty space which is formed inside the box?
Question 10
The volume of a right circular cylinder is 3 times the volume of a right circular cone. The radius of the cone and the cylinder are 3 cm ad 6 cm respectively. If the height of the cylinder is 1 cm, then what is the slant height of the cone?
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Jun 15SSC & Railway