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September 2, 2014

September 2, 2014

Posted by **Anonymous** on Sunday, June 3, 2012 at 7:01pm.

(a) Calculate the volume of the water in the glass.

(b) When spherical marble is submerged into the water in the glass, the water level rises by 1 cm. calculate:

(i) The volume of the marble

(ii) The radius of the marble.

- math -
**Steve**, Sunday, June 3, 2012 at 8:55pmusing similar triangles, the height of the cone that was cut off to form the glass is 4.5cm. So, the volume of the part cut off is

1/3 pi (2^2)(4.5) = 6pi cm^3

(a) v = 1/3 pi (6^2)(13.5) - 6pi = 156pi

(b)

with marble submerged, volume is increased by (14.5/13.5)^3 = 1.24, or

(i) 37.3pi = 117cm^3

(ii) r = 3cm

- math -
**Anonymous**, Sunday, June 3, 2012 at 9:34pmThank you

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