Direction: A man is going shop from his home with the speed of _______ kmph…
2020
Direction: A man is going shop from his home with the speed of _______ kmph and time taken to reach the shop by him is _______ hours. After reaching there he purchases a cylindrical jar of certain height having capacity equal to 83259 cm3. The man also purchases a conical vessel whose capacity is 1/27 th of a cylindrical jar and height of conical vessel is 14 cm.
Note: Height of conical vessel is four times of the height of cylindrical jar.
Find the ratio of the radius of cylindrical jar to the radius of conical vessel?
- A.
3 : 1
- B.
4 : 1
- C.
5 :1
- D.
6 : 1
- E.
5 : 2
Show answer & explanation
Correct answer: D
The cylindrical jar capacity is 83259 cm3 and the cone height is 14 cm.
The cone height is four times the cylinder height, so the cylinder height is 3.5 cm.
Using pi = 22/7, cylinder radius squared = 83259 / 11 = 7569, so the cylinder radius is 87 cm.
The cone capacity is 1/27 of the cylinder capacity, which gives cone radius 14.5 cm.
Thus the radius ratio is 87 : 14.5 = 6 : 1.