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Solving problems involving right cone

A tool is made up of a cone on top of a cylinder . The cylinder has a height h of 15 cm and a radius of 5 cm. The volume of the cone is 100 Pi cm 2. O is the vertex of the cone, AB is the diameter of the base of the cone and C its center. Points O, A, B and C are in the same plane.

Calculate the area of the lateral surface of the tool.

The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V.


 A tent is cylindrical up to a height of 2.1 m and conical above it. If the diameter of the base is 2.6 m and the slant height of the conical part is 3.5 m, find the total canvas used in making the tent.

 Find the radius and the curved surface area of the cone made from a quadrant of a circle of radius 42 cm.

Find the volume of the cone with the base radius r and the height v.

 r = 0.9 m, v = 2.3 m


 Find the length of canvas 1 m in width required to make a conical tent 8 m in diameter and 3 m in height. Also, find the cost of the canvas at the rate of RS15 per meter.

 Calculate the volume of a rotating cone with base radius r=8 cm and height h=18 cm. 

Find the volume of the cone with the base radius r and the height v.

 r = 6 cm, v = 8 cm.

A tool is made up of a cone on top of a cylinder . The cylinder has a height h of 15 cm and a radius of 5 cm. The volume of the cone is 100 Pi cm 2. O is the vertex of the cone, AB is the diameter of the base of the cone and C its center. Points O, A, B and C are in the same plane.

Calculate angle AOB.

Two cones have their curved surface area (CSA) in the ratio 1 : 3 and the slant heights in the ratio 3 : 1. Find the ratio of their radii.