Question

The ratio of the Curved Surface Area and The Total Surface Area of a Cylinder is 2:3. Find the volume of the Cylinder if it is given that the Height of the Cylinder is 6cm​

Answer 1

Step-by-step explanation:

Ratio of CSA and TSA

== 2πrh : 2πr(r+h)

== 2πrh : 2πr(r+h)== h:r+h

== 2πrh : 2πr(r+h)== h:r+hGiven ratio == 2:3

h/r+h = 2/3

h/r+h = 2/3== 3h = 2r+2h

h/r+h = 2/3== 3h = 2r+2h == h = 2r

Height of the cylinder = 6cm

therefore Radius = 3cm

Volume of cylinder = πr²h == 22/7 × 9× 6

cm³ == 169.64 cm³