SOLUTION: the volume and the curved surface area of a cylinder are 1650 cubic cm and 660 sq. cm respectively. find the radius and height of the cylinder

Algebra ->  Surface-area -> SOLUTION: the volume and the curved surface area of a cylinder are 1650 cubic cm and 660 sq. cm respectively. find the radius and height of the cylinder       Log On


   

Question 936397: the volume and the curved surface area of a cylinder are 1650 cubic cm and 660 sq. cm respectively. find the radius and height of the cylinder
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
volume of cylinderv+=pi%2Ar%5E2%2Ah
curved surface area +a=+2%2Api%2Ar%2Ah
where r = radius
h=height
but v=1650 cubic cm
a = 660 sq cm
+v%2Fa++=%28pi%2Ar%5E2%2Ah%29%2F%282%2Api%2Ar%2Ah%29
v%2Fa++=r%2F2
1650%2F660+=r%2F2
5%2F2=r%2F2
%285%2F2%29%2A2+=+r
5=r
hence radius (r)= 5 cm
+a=+2%2Api%2Ar%2Ah
+660+=2%2A3.14%2A5%2Ah
+660+=31.4+%2Ah
660%2F31.4+=h
21.09=h
hence height = 21 cm ( approximately)