cylinder

Dear Fatima,

Curved Surface area of a cylinder=2r h.

Total Surface area of a culiner =2r ( h+r)= 462 cm².

It is given that   TSA / CSA=  2r(h+r)  /  2rh  = (h+r) / h =1+(r/h) = 3

 r/h=2 h=r/2

Substitute h=r/2 in TSA equation

2r( r/2  + r)= 3r²  = 462

From the above equation  r= (462    / 3)=7 cm  ;

h= r/2= 3.5 cm

Cylinder Volume V= r² h =539 cm³  .

 

Regards
Team
TopperLearning