Question

The ratio of the curved surface area to the total surface area of a right circular cylinder is 1:3. Find the volume of the cylinder if its total surface area is 1848cm^2

Answer 1

C. S. A:T. S. A
1:3
T. S. A = 1848cm^2
C. S. A=1848/3=616cm^2
T. S. A - C. S. A = area of 2 bases
1848 - 616 =1232 cm^2
There are 2 bases
Area of 1 Base =1232 /2=616cm^2
The Base of cylinder is circle
Area of circle is pie r^2=616
22/7*r^2=616
=14
We know that,
C. S. A of cylinder is 2pie r h
2 *pie *r*h=616
2*22/7*14*h =616
h=7cm
Volume of cylinder = pie r^2h
=22/7*14*14*7
=4,312cm^3