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Question 1
The radius of a piece of wire is decreased to 2/3rd. If the volume of the wire remains the same, then its length will become-
Question 2
8 spheres are made by melting a big sphere ,then radius of each new sphere is:
Question 3
If the altitude of a right prism is 10 cm and its base is an equilateral Triangles of side 12 cm, then its total surface area (in cm2) is
Question 4
What is the diameter of a sphere of surface area 704 cm2?
Question 5
The dimension of a cigarette packet i.e. length, breadth and height are 10 cm, 9 cm, and 7 cm respectively. The inner surface area of the cigarette packet is 262 sq. cm. If the boundaries of the cigarette packet are of uniform thickness t cm then find the value of t.
Question 6
The figure shown below represents a ice cream cup which is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height is 10.2 cm, find the total volume.
Question 7
Three solid metal cubes of edges 3 cm, 5 cm, and 6 cm are melted to form a new cube. But 25 cm3 volume of the metal is lost due to inefficiency. What is the total surface area of the cube?
Question 8
If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is :
Question 9
If base of a prism is square and its height is 15 cm, then find the volume of prism. Total surface Area of prism is 1008 cm2?
Question 10
The radius of a sphere and hemisphere are same. The ratio of their total surface area is
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Oct 6SSC & Railway
