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.

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

 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. 

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

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

 r = 0.9 m, v = 2.3 m

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.

 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 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.