Question

two solid cone A and B are placed in a cylindrical tube as show in figure the ratio of their capacities is 2:1 find the height and capicities of cone also find the volume kf the remaining portion of cylinder​

Answer 1

Answer:

Let height of the cone 1 be 'h' cm and the height of the cone 2 be (21 cm - h) .

Volume of cone 1/Volume of cone 1 = 2/1

⇒ {1/3πr²h}/{1/3πr²(21 cm - h)} = 2/1

⇒ 42 cm - 2h = h

⇒ 3h = 42 cm

⇒ h = 42/3

⇒ h = 14 cm

Height of the 1 st cone is 14 cm and the height of the 2nd cone is 21 - 14 = 7 cm.

Now,

Volume of cone 1 = 1/3*22/7*3*3*14

= 132 cm³    or Capacity = 0.132 litres

Volume of cone 2 = 1/3*22/7*3*3*7

= 66 cm³   or capacity = 0.066 litres

Volume of cylinder = πr²h

= 22/7*3*3*21

= 594 cm³

Remaining volume = 594 - 198

= 396 cm³