A spherical cannon ball 28cm in diameter is melted and recast in to a right conical mould base of which is 35 cm in diameter find the height of the cone
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sphere radius = 28 /2 =14 cm
volume of sphere = 4/3 pie r^3
=4/3 pie ×14 ×14×14
it's melted and recast to a conical shape
it's radius =35 /2 =17.5 cm
=1/3 pie r^2 h
1/3 pie ×17.5 ×17.5 ×h
according to the question
volume of sphere =volume of cone
4/3 pie 14 ×14 ×14 =1/3 pie 17.5 ×17.5 ×h
4/3 ×14 ×14×14 =1/3 ×17.5 ×17.5 ×h
3658.6 =102.08 ×h
3658.6 /102.08 =h
35.84 =h
volume of sphere = 4/3 pie r^3
=4/3 pie ×14 ×14×14
it's melted and recast to a conical shape
it's radius =35 /2 =17.5 cm
=1/3 pie r^2 h
1/3 pie ×17.5 ×17.5 ×h
according to the question
volume of sphere =volume of cone
4/3 pie 14 ×14 ×14 =1/3 pie 17.5 ×17.5 ×h
4/3 ×14 ×14×14 =1/3 ×17.5 ×17.5 ×h
3658.6 =102.08 ×h
3658.6 /102.08 =h
35.84 =h
Mathswizardvoltaire:
I agree with the answer.
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