Question

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

Answer 1

Step-by-step explanation:

the radius of ball is 10.5 cm

Answer 2

The radius of the ball is 10.5 cm³.

Step-by-step explanation:

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

To find : The radius of the boll ?

Solution :

Radius of water tank is 14 cm and water level is 3 cm below the top.

When iron ball is dropped it water 3003 cm³ of  water flows out.

Volume of empty tank $V= \pi r^2 h$

The volume of ball = Volume of empty tank + Volume of water came out

The volume of ball =  $\pi r^2 h$ + Volume of water came out

The volume of ball = $\frac{22}{7}\times 14^2\times 3$ + 3003 cm³

The volume of ball = 1848 cm³ + 3003 cm³

The volume of ball = 4851 cm³

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Substitute the values,

$4851 =\dfrac{4}{3}\times\dfrac{22}{7}\times r^3$

$r^3= \dfrac{4851\times3\times7}{22\times4}$

$r^3=1157.625$

$r=10.5$

Therefore, the radius of the ball is 10.5 cm³.

#Learn more

Radius of a sphere is 14 cm. find the surface area of the sphere?

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