A sphere of radius 5cm is immersed in ...

A sphere of radius 5cm is immersed in water filled in a cylinder, the level of water rises `5/3c mdot` Find the radius of the cylinder.

Text Solution

Verified by Experts

Volume of the sphere = Volume of the water in the cylinder
`=>4/3pir^3=pir^2xx5/2`
`r^2=4xx5^2=100cm`
`r=10cm`

Topper's Solved these Questions

SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER CONE
RD SHARMA|Exercise All Questions|128 Videos
TABULAR REPRESENTATION OF STATISTICAL DATA
RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

A cylinder of radius 12cm contains water to a depth of 20cm .A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75cm. Find the radius of the ball. (use pi=(22)/(7))

A solid sphere with radius 6 cm was totally submerged in water kept in a cylindrical vessel. The water level in the vessel rose by 4.5 cm. Find the radius of the cylindrical vessel.

A cone of a radius 5cm is filled with water.If the water poured in a cylinder of radius 10cm, the height of the water rises 2cm, find the height of the cone.

A sphere of radius 6 cm is dropped into water contained in a cylindrical vessel of radius 8 cm .If the sphere is completely immersed,find the rise in level of the water in the cylinder

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.

A solid sphere of radius ' r ' is melted and recast into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 4 cm, its height 24 cm and thickness 2 cm, find the value of ' r ' .

A metallic sphere of radius 5.6 cm is melted and recast into a shape of cylinder of radius 6cm. Find the height of the cylinder.

The radius of the internal and external surface of a hollow spherical shell are 3cm and 5cm respectively. If it is melted and recast into a solid cylinder of height 2 2/3c mdot Find the diameter of the cylinder.

RD SHARMA-SURFACE AREA AND VOLUME OF A SPHERE -All Questions

A shopkeeper has one laddoo of radius 5cm. With the same material,...
Text Solution
|
A spherical ball of lead 3cm in diameter is melted and recast into t...
Text Solution
|
A sphere of radius 5cm is immersed in water filled in a cylinder, th...
Text Solution
|
If the radius of a sphere is doubled, what is the ratio of the volum...
Text Solution
|
A cone and a hemisphere have equal bases and equal volumes. The ratio ...
Text Solution
|
A vessel in the form of a hemisphereical bowl is full of water. The ...
Text Solution
|
A cylinder whose height is two thirds of its diameter, has the same ...
Text Solution
|
A vessel in the form of a hemisphereical bowl is full of water. The ...
Text Solution
|
A cylindrical tub of radius 16cm contains water to a depth of 30cm. ...
Text Solution
|
A cylinder of radius 12cm contains water to a depth of 20cm. A spher...
Text Solution
|
The diameter of a copper sphere is 18 cm. The sphere is melted and i...
Text Solution
|
A cylindrical jar of radius 6 cm contains oil. Iron spheres each of ...
Text Solution
|
A measuring jar of internal diameter 10cm is partially filled with w...
Text Solution
|
The diameter of a sphere is 6cm. It is melted and drawn into a wire ...
Text Solution
|
The radius of the internal and external surface of a hollow spherical ...
Text Solution
|
A hemisphere of lead of radius 7 cm is cast into a right circular co...
Text Solution
|
A hollow sphere of internal and external radii 2 cm and 4 cm respect...
Text Solution
|
A metallic sphere of radius 10.5 cm is melted and recast into small ...
Text Solution
|
A cone and a hemisphere have equal bases and equal volumes. Find the...
Text Solution
|
A cone, a hemisphere and a cylinder stand on equal bases and have th...
Text Solution
|