Home
Class 14
MATHS
A conical flask is full of water. The fl...

A conical flask is full of water. The flask has base radius r and height h. This water is poured into a cylindrical flask of base radius mr. The height of water in the cylindrical flask is

A

`(m)/(2h)`

B

`(h)/(2)m^(2)`

C

`(2h)/(m)`

D

`(h)/(3m^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
शंक्वाकार फ्लास्क का आयतन `=(1)/(3)pir^(2)h`
मानाकि बेलन की ऊँचाई `=h_(clr)`
`therefore` बेलन का आयतन = शंक्वाकार फ्लास्क में पानी का आयतन
`implies pi(mr)^(2)xxh_(clr)=(1)/(3)pir^(2)h`
`implies h_(clr)=(1)/(3)(pir^(2)h)/(pim^(2)r^(2))`
`implies h_(clr)=(h)/(3m^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A conical flask is full of water. The flask has base-radius r and height h . The water is poured into a cylindrical flask of base-radius m r . Find the height of water in the cylindrical flask.

A conical vessel with radius 10 cm and height 15 cm is completely filled with water. This water is poured into a cylinder with radius 5 cm. Find the height of water in the cylinder.

The (3)/(4) th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel.

A rectangular vessel 22 cm by 16 cm by 14 cm is full of water. If the total water is poured into the empty cylindrical vessel of radius 8 cm, find the height of water in the cylinderical vessel.

A hemispherical bowl of internal radius 9cm is full of water.Its contents are emptied in a cylindrical vessel of internal radius 6cm. Find the height of water in the cylindrical vessel.

A hemispherical bowl of internal radius 9cm is full of water.Its contents are emptied in a cylindrical vessel of internal radius 6cm. Find the height of water in the cylindrical vessel.

A conical flask has base radius acm and height hcm. It is completely filled with milk. The milk is poured into a cylindrical thermos flask whose base radius is pcm. What will be the height of the milk level in the flask? (a^(2)h)/(3p^(2))cm(b)(3hp^(2))/(a^(2))cm(c)(p^(2))/(3h^(2))cm(d)(3a^(2))/(hp^(2))cm

A conical vessel whose internal radius is 10 cm and height 72 cm is full of water . If this water is poured into a cylindrical vessel with internal radius 30 cm, the height of the water level rises in it is :

A conical vessel whose internal radius is 5 cm and height 24 cm, is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the water rises in the cylindrical vessel.