Question

The figure shows a solid consisting of a cylinder of height h and a hemisphere of radius r. The area of the curved surface of the cylinder is twice that of the hemisphere. Find the volume of cylinder : volume of hemisphere.

@hartnn @Callisto sorry again :(

Answer 1

area of curved surface of the cylinder = 2 pi r h
area of the hemisphere = 2 pi r^2

so 2 pi r h = 2* 2 pi r^2

Answer 2

h:r=2:1?

Answer 3

correct

Answer 4

then volume of cylinder : hemisphere
= pi r^2 h : 2/3 pi r^3
= h: 2/3 r
.......
=3h:2r???????
...

Answer 5

lol what am i calculating -.-

Answer 6

vol of the cylinder = pi r^2 h

vol of hemisphere = (2/3) pi r^3

replace h by 2r:-

vol cyl : vol hemi = 2 pi r^3 : (2/3) pi r^3

Answer 7

can you continue?