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secondary 2 | Maths
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explain in detail how do pls ty
Date Posted: 2 years ago
Views: 259
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Sphere fits exactly in can -> means the radius of sphere = radius of the can.
let this radius be r, and diameter = 2r
Water just covers the sphere means the height of the water = height of the sphere = diameter
i) surface area of can in contact with water
= surf( base + curved surface)
= pi r^2 + 2 pi r (2r)
ii) Initial volume of water = Volume of cylinder(where h=2r) - volume of sphere = pi r^2 (2r) - 4/3 pi r^3
pi*r^2*(initial depth)= Initial volume of water solved above.
Solve for initial depth of water.
let this radius be r, and diameter = 2r
Water just covers the sphere means the height of the water = height of the sphere = diameter
i) surface area of can in contact with water
= surf( base + curved surface)
= pi r^2 + 2 pi r (2r)
ii) Initial volume of water = Volume of cylinder(where h=2r) - volume of sphere = pi r^2 (2r) - 4/3 pi r^3
pi*r^2*(initial depth)= Initial volume of water solved above.
Solve for initial depth of water.
Date Posted:
2 years ago
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