A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius of 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 28.8 cm
Conical vessel volume = (1/3)пr2h
where r = 18 cm and h = 60 cm
⇒ volume = (1/3)п(18)2 × 60
And
Cylindrical vessel volume = пr2h = п(15)2h
Now,
Conical volume = Cylindrical vessel volume
⇒ (1/3)п(18)2 × 60 = п(15)2h
⇒ h = (324 × 20)/225 = 28.8 cm