A cylindrical tub of radius 16cm conta...

A cylindrical tub of radius 16cm contains water to a depth of 30cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9cm. What is the radius of the ball?

Text Solution

Verified by Experts

Volume of sphere = Volume of cylindrical ABCD
`4/3pir^3=piR^2h`
`4/3r^3=16xx16xx9=1728=12^3`
`r=12 cm`

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 cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm. What is the radius of the balls ?

A cylindrical tub of radius 12 cm contains water to a depth of 20 cm. A spherical ball is dropped into the tub and the level of the water is raised by 6.75 cm. Find the radius of the ball.

Raise in water level problems : A cylinderical tub of radius 12cm contains water to a depth of 20cm. A spherical form ball of a radius 9cm is dropped into the tub and thus the level of water is raised by Hcm. What is the value of H?

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))

Water is filled in a right cylindrical tank with base radius 14 cm such that water level is 3 cm below the top. When an iron ball is dropped in the tank, 3003cm^(3) of water flows out. Find the radius of the ball.

A cylindrical jar of radius 10 cm is filled with water upto a height of 15cm. 14 sphercal balls of radius 3 cm each are immersed in the jar. Find the new level to which water is filled in the jar.

A cylindrical vessel of radius 8 cm contains water. A solid sphere of radius 6 cm is lowered into the water until it is completely immersed. What is the rise in the water level in the vessel?

Three spherical balls of radius 2 cm, 4 cm and 6 cm are melted to form a new spherical ball. In this process there is a loss of 25% of the material. What is the radius (in cm) of the new ball?

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

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
|
A cylindrical tub of radius 12 cm contains water to a depth of 20 cm...
Text Solution
|
The larges sphere is carved out of a cube of side 10.5 cm. Find the ...
Text Solution
|
A sphere, a cylinder and a cone have the same radius and same height. ...
Text Solution
|
The diameter of a sphere is decreased by 25%. By what percent its cu...
Text Solution
|
A hemispherical tank is made up of an iron sheet 1 cm thick. If the ...
Text Solution
|
A capsule of medicine is in the shape of a sphere of diameter 3.5 mm....
Text Solution
|