A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5m.

Find the volume of the cone.

Question

A cloth having an area of 165 m2 is shaped into the form of a conical tent of radius 5m Find the volume of the cone

Accepted Answer

A cone is a solid threedimensional geometric object with a circular base and a pointed apex at the top A cone is made up of one face and one vertex For a cone there are no edges The space or capacity of a cone is defined by its volume A cone is a threedimensional geometric object with a circular base that tapers to a point called the apex or vertex from a flat base We know that Curved surface area of the tent area of the cloth 165 m2 So we get rl 165 By substituting the values 227 5 l 165 On further calculation l 165 7 22 5 212 m We know that h l2 r2 By substituting the values h 2122 52 On further calculation h 4414 25 3414 So we get h 923m We know that Volume of the tent 13 r2h By substituting the values Volume of the tent 13 227 52 923 On further calculation Volume of the tent 2417 m3

RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15C in Chapter 15 - Volume And Surface Area Of Solids