SOLID GEOMETRY Q3

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TOPIC : SOLID GEOMETRY : 

TOPIC : SOLID GEOMETRY Diagram 3 shows a solid formed from a cone and hemisphere. DIAGRAM 3 The diameters of the cone and the hemisphere are 21cm each. The volume of the solid is 4 042.5 cm3. calculate the height of the cone in cm.

TOPIC : SOLID GEOMETRY : 

TOPIC : SOLID GEOMETRY = ½ Volume of hemisphere Volume of solid Volume of cone + = ( 1 3 X 115.5 h + 2425.5 ) = 4 042.5 cm3 21cm 21cm = 1 3 πr2h + 1 2 πr3 4 3 X 4042.5 = [ 22 7 X 21 2 2 X h ] + [ 1 2 X 4 3 22 7 X X 21 2 ) ( 3 ] 4042.5 h 14 cm h