Mathematics
Surface Areas and Volumes
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Sample Practice Questions
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A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank of diameter 2 m and depth 3.5 m. If water flows at 3 km/h, in how many minutes will the tank be completely filled? (Use pi = 22/7)
A circus tent has a cylindrical base of diameter 20 m and height 3 m, surmounted by a conical roof of height 3.5 m. What is the area of canvas needed to make the tent? (Use pi = 22/7)
A cylindrical tank of base radius 7 cm and height 20 cm is half filled with water. The volume of water in the tank is: (Use π = 22/7)
A solid metallic right circular cone (height 120 cm, radius 60 cm) is melted and recast as a sphere. The radius of the sphere is: (Use π = 22/7)
A solid hemisphere of radius 8 cm is melted and recast into 8 spheres of equal size. The surface area of each sphere is: (Use π = 22/7)
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