MENU
Question -

A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with the conical ends each of axis length 9 cm. Determine the capacity of the tank.



Answer -


Given,

Base diameter of thecylindrical base of the petrol tank = 21 cm

So, its radius (r)= diameter/2 = 21/2 = 10.5 cm

Height of theCylindrical portion of the tank (h1) = 18 cm

Height of the Conicalportion of the tank (h2) = 9 cm

Now, we know that

The volume of theCylindrical portion (V1) = πrh1

V1 =π(10.5)18

V1 =6237 cm3

The volume of theConical portion (V2) = 1/3 × 22/7 × r2 × h2

V= 1/3× 22/7 × 10.52 × 9

V=1039.5 cm3

Therefore, the totalvolume of the tank (V) = 2 x volume of a conical portion + volume of theCylindrical portion

V = V+V2 = 2 x 1039.5 + 6237

V = 8316 cm3

So, the capacity ofthe tank = V = 8316 cm

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×