Question

the ratio of the CSA and TSA of a curcular cylinder is 1:2 and the TSA is 616 . find volume.

Answer 1

Answer:

1078 cm3

Step-by-step explanation:

Given that,

Curved surface area : Total surface area = 1:2

Curved surface area : 616 = 1:2

Curved surface area = 616 / 2 = 308

2πrh / 2πr(h+r) = 1/2

h / (h+r) = 1/2

h+r = 2h

⇒ h = r

Curved surface area = 2πrh = 2πr2 = 308 [Since h = r]

2 x 22/7 x r2 = 308

r2 = 308 x 7/44

r2 = 49

r = 7 cm

⇒ h = 7 cm

Volume of the cylinder = πr2h  

= 22/7 x 7 x 7 x 7

= 1078 cm3

Volume of the cylinder is 1078  cm cube