5th Year Maths! Help?! Area and Volume

Kelly090

Hi guys, so I have an area and volume test and I keep getting stuck on questions like the one down below. Any maths genius out there who would'nt mind working out this simple question if they get a chance and post the solution below? You would really be helping me out! Thanks so much in advance!

Question: A cylindrical tank of radius 4cm is partly filled with water. A cone of radius 2cm and height 3cm is immersed in the water. By how much will the water rise?

hubluh

Kelly090 wrote: »

Hi guys, so I have an area and volume test and I keep getting stuck on questions like the one down below. Any maths genius out there who would'nt mind working out this simple question if they get a chance and post the solution below? You would really be helping me out! Thanks so much in advance!

Question: A cylindrical tank of radius 4cm is partly filled with water. A cone of radius 2cm and height 3cm is immersed in the water. By how much will the water rise?

So , the volume of the cone = volume of water displaced.

Volume of cone = 1/3 x pi x r^2 x h
1/3 x pi x2^2 x3 = 4pi
Volume of water displaced = pi x r^2 x h
pi x 4^2 x h =16pih

16 pi h = 4 pi
h= 1/4 = .25cm^3

Kelly090

hubluh wrote: »

So , the volume of the cone = volume of water displaced.

Volume of cone = 1/3 x pi x r^2 x h
1/3 x pi x2^2 x3 = 4pi
Volume of water displaced = pi x r^2 x h
pi x 4^2 x h =16pih

16 pi h = 4 pi
h= 1/4 = .25cm^3

Thank you so so much!!

NiallBoo

hubluh wrote: »

h= 1/4 = .25cm^3

*.25cm