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ray is late for work but would like to drink some coffee before he leaves the coffee in the pot is too hot so Ray puts 20 small cubes in a mug before pouring in the coffee .the ice cubes measure 1 cm per side the mug is cylindrical and has height of 9cm and a base of 7 cm what is volume of the coff3 that will fill the mug after the ice cubes have been added (round to the nearest whole number)

User Dimse
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1 Answer

6 votes

Volume of the mug: PI r^2 (h)

R ====> Radius

H ====> Height

Radius of mug is:

7 / 2 * 1 / 2 b

===> 3.5cm^3

volume of mug:

===> 3.5^2 * PI r^2 * 9

===> 346 cm^3

20 ice cubes ===> 20 cm^3 is needed:

substract:

20 cm^3 - 346

===> 326 cm^3

The volume of the mug is the area of its base; The mug's height, or πr^2 h. This is; 3.5 cm * 3.5 cm. · 9 · π, or 346.2 cm3. The volume of each ice cube is 1 cubic centimeter, so 20 of them will occupy 20 cm^3.

Answer: This leaves 326 cm^3 for the coffee.

Hope that helps!!!! : )

User Michelann
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