Question

the volume of a cylindrical vessel is 770cm. if its radius is 7 then find its height and area of the base​

Answer 1

Answer:

Given,

Volume of cylindrical vessel=770 cm

Radius =7 cm

Hence, πr²h= 770

Or, h= 770/πr²

Or, h= 770*7/22*7*7

Or, h= 5 cm.

Hence area of base = πr²= 22/7*7*7=154 cm²

Answer 2

Answer:

Given ratio = 2:3 and volume = 1617 cm^3.

Let the radius and height of the cylinder be 2x and 3x. --(1)

Given volume of cylinder = 1617 cm^3

pir^2h = 1617 cm^3

(22/7) " (2x)^2* 3x = 1617

22/7 4x^2 " 3x = 1617

x = 7/2

Substitute x = 7/x in (1), we get

radius = 2* 7/2 = 7

height = 3*7/2 = 21/2. =

T.S.A of the cylinder = 2pir(h+r)

= 222/ 77*(212+

= 22 35

= 770 cm^2.

HOPE IT HELPFUL TO YOU..