Question

The ratio between the radius of the base and the height of a cylinder is 2 : 3. find the total surface area of the cylinder, it its volume is 1617 cm³.

Answer 1

Data given is as follows:

`r/h = 2/3`

Volume = 1617 cm³

We have to find the Total surface area

From the given data, we have

`r/h = 2/3`

Therefore, `h = 3/2r`

Also, we know that

Volume = `pir^2h`=1617

`pir^2h` =1617

 `xx 22/7 xx r xx r3/2 xx r` =1617

`r^3 = 343`

r =7 cm

`h = 3/2 xx7`

`h = 21/2` cm

Therefore, total surface area is 

`TSA = 2 pir( r +h)`

`⇒ TSA = 2 xx 22/7 xx 7 (7 +21/2)`

`⇒ TSA = 770  cm^2`