A solid consisting of a right circular c...

A solid consisting of a right circular cone standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom .Find the volume of the water left in the cylinder having given that the radius of the cylinder is 3 cm and its height is 6 cm .The radius of the hemisphere is 2cm and height of the cone is 4 cm. Give your answer to the nearest cubic centimetre.

Text Solution

Verified by Experts

The correct Answer is:

136 `cm^(3)`

Topper's Solved these Questions

VOLUME AND SURFACE AREA OF SOLIDS
NAGEEN PRAKASHAN|Exercise Revisions Exercise Very Short Answer Questions|10 Videos
VOLUME AND SURFACE AREA OF SOLIDS
NAGEEN PRAKASHAN|Exercise Revisions Exercise Short Answer Questions|10 Videos
VOLUME AND SURFACE AREA OF SOLIDS
NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|10 Videos
TRIANGLES
NAGEEN PRAKASHAN|Exercise Revision Exercise Long Questions|4 Videos

Similar Questions

Explore conceptually related problems

A solid consisting of a right standing on a hemisphere is placed upright in a right circular cylinder full of water and touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm, the radius of the hemisphere is 60 cm and height of the cone is 120 cm, assuming that the hemisphere and the cone have common base.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottoms. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

A solid right circular cone of height 120cm and radius 60cm is placed in a right circular cylinder full of water of height 180cm such that it touches the bottom Find the volume of water left in the cylinder if the radius of the cylinder is equal to the radius to the cone.

A solid right circular cone of height 120 cm and radius 60 cm is placed in a right circular cylinder full of water of height 180 cm.Such that it touhces the bottom .Find the volume of water of left in the cylinder, if the radius of the cylinder is equal to the radius to the cone.

A solid right circular cone of height 60 cm and radius 30 cm is dropped in a right circular cylinder full of water, of height 180 cm and radius 60 cm. Find the volume of water left in the cylinder, in cubic metres.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm. and height 14 cm. Find the volume of the sphere.

The largest sphere is to be curved out of a right circular cylinder of radius 7 cm and height 14 cm. Find the volume of the sphere.

A hemisphere of iron is melted and recast in the shape of a right circular cylinder of diameter 18 cm and height 162 cm. The radius of the hemisphere is

The radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

NAGEEN PRAKASHAN-VOLUME AND SURFACE AREA OF SOLIDS-Exercise

An exhibition tent is in the form of a cylinder surmounted by a ocne ....
Text Solution
|
A pen stand made of wood is in the shape of a cuboid with four conical...
Text Solution
|
A solid consisting of a right circular cone standing on a hemisphere i...
Text Solution
|
An iron pillar has some part in the form of a right circular cylind...
Text Solution
|
A solid is in the form of a cylinder with hemispherical ends. Total...
Text Solution
|
A right cylinder , a right cone and a hemishpere have the same height ...
Text Solution
|
From a circular cylinder of diameter 10 cm and height 12 cm a conical...
Text Solution
|
The height of a solid cylindr is 15 cm and diameter is 7 cm .Two equal...
Text Solution
|
Find the volume of the largest curcular cone that can be cut out from ...
Text Solution
|
From a rectangular solid of metal 42 cm xxx 30 cm xx20 cm a conical ca...
Text Solution
|
A wooden toy is in the shape of a cone mounted on a cylinder as shown ...
Text Solution
|
A sphere just fits in a cylindrical vessel and the height of the cylin...
Text Solution
|
A room in the form of a cylinder surmounted by a hemisphere valuted do...
Text Solution
|
In a hospital used water is collected in a cylindrical tank of diamete...
Text Solution
|
Three metal cubes with edges 6cm , 8cm and 10cm respectively are melte...
Text Solution
|
Six cubes each of side 12 cm are joined end to end .Find the surface a...
Text Solution
|
Two cubes each of volume 64 cm^(3) are joined end to end.Find the surf...
Text Solution
|
40 circular plates each of radius 7 cm and thickness 1.5 cm are placed...
Text Solution
|
A right circular cone is 8 cm high and radius of its base is 2 cm .The...
Text Solution
|
A girl fills a cylindrical bucket 32 cm in height and 18 cm in radius ...
Text Solution
|