SOLUTION: A solid cone of vertical height 10cm and circular base of radius 3cm is placed on its base in a cylindrical vessel of internal radius 5cm. Water is poured in to the cylindrical ves

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Question 822609: A solid cone of vertical height 10cm and circular base of radius 3cm is placed on its base in a cylindrical vessel of internal radius 5cm. Water is poured in to the cylindrical vessel until the depth of water is 15cm. when the cone removed what would be the depth of the water????????????????
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A solid cone of vertical height 10cm and circular base of radius 3cm is placed on its base in a cylindrical vessel of internal radius 5cm.
Water is poured in to the cylindrical vessel until the depth of water is 15cm.
when the cone removed what would be the depth of the water?
:
Find the volume of the cone
V = 1%2F3*pi%2A3%5E2%2A10
V = 94.25 cu/cm vol of the con
:
Find the volume of the water in the cylinder
v = pi%2A5%5E2%2A15 - 94.25
v = 1083.85 cu/cm, vol of the water
let d = depth of the water after the cone is removed
pi%2A5%5E2%2Ad = 1083.85
d = 1083.85%2F%2825%2Api%29
d = 13.8 cm is depth after the cone is removed