A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below.

A spherical ball fits exactly inside a cylinder so that all its sides touch the sides of the cylinder

The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.

Question

A ball of diameter 20 cm fits exactly inside a cylindrical container, as shown below.
 
A spherical ball fits exactly inside a cylinder so that all its sides touch the sides of the cylinder

The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.

anonymous · Answer

@amistre64 @mathslover

anonymous · Answer

@ganeshie8

anonymous · Answer

$$V = \pi r ^{2}h$$
V= Volume of a cylinder
r=radius of the cylinder
h=height of the cylinder

anikhalder · Answer

@Muddingirl  First find volume of cylinder and then volume of spherical ball...Then tell us what you will you do next..@kausarsalley  has already told us the formula for the volume of cylinder

anonymous · Answer

Im sorry guys i don't know how...sorry

anonymous · Answer

since the sphere fits exactly into the cylinder, the diameter of the sphere is equal to the diameter of the cylinder....so therefore the radius of the cylinder would be half o of the diameter.....and if you look carefully, you would realise the diameter of the sphere (if you view its diameter vertically) is equal to the height of the cylinder......

anikhalder · Answer

No problem.. @kausarsalley is explaining great..just keep following..:)

anonymous · Answer

OK, @kausarsalley  would the diameter be 20?

anonymous · Answer

yes

anonymous · Answer

ok...i got something

anonymous · Answer

so the radius would be 10 right

anonymous · Answer

@kausarsalley

anonymous · Answer

yh that is right!

anonymous · Answer

so you can now place your values in the formula and find the volume! :)

anonymous · Answer

so it'd be: $$V=\pi 10^220$$

anonymous · Answer

@kausarsalley

anonymous · Answer

yh! you got it..

anonymous · Answer

ok. i will work it out and tell you what i got! Thanks @kausarsalley

anonymous · Answer

sure! and you are welcome...

anonymous · Answer

ok i think i did something really wrong cause i got 636.94? @kausarsalley

anonymous · Answer

yh...try it again

anonymous · Answer

it got worse...6280? @kausarsalley sorry

anonymous · Answer

if you want to leave your answer to 3 sig. figs. then what you got is right!
the real answer is 6283.18....

anonymous · Answer

OHH that makes sense!! THANKS SO MUCH!!! @kausarsalley

anonymous · Answer

YOU ARE WELCOME!!!! :)