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Cylinders Cones Problems I

Q1.

A copper rod of diameter 1 inch and length 8 inch is drawn into a wire of length 18 inch of uniform thickness. What is the thickness of the wire?

 

 

 

 

 

 

Q2.

Water flows through a cylindrical pipe of internal diameter 7 cm at 36 km/h. How much time it would take to fill a cylindrical tank, the radius of whose base is 35 cm and height is 1 meter?

 

 

 

 

 

 

Q3.

A right triangle, with sides 15 cm and 20 cm, is made to revolve about its hypotenuse. What is the volume and surface area of the double cone so formed?

 

 

 

 

 

 

Q4.

Water flows through a circular pipe of internal radius 7 cm at 5 m per second. If the pipe is always half full, what is the amount water delivered by the pipe in 10 seconds?

 

 

 

 

 

 

Q5.

An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is 85 m and the height of the cylindrical part is 50 m. If the diameter of the base is 168 m, find the quantity of canvas required to make the tent?

 

 

 

 

 

 

Q6.

An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 7/2 cm and height 8 cm. Find the volume of water required to fill the vessel. If the cone is replaced by another cone, whose height is 1¾ cm and radius of whose base is 2 cm, find the drop in the water level?

 

 

 

 

 

 

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