cone of radius 7 cm and height 12 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 3.5 cm. What will be the height of water in this vessel?
Options:
1) 16 cm
2) 32 cm
3) 5.33 cm
4) 8 cm
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radius of cone=7cm
Height of cone=12cm
Volume of cone=1/3pie r2h
So 1/3pie(7)2×12
ATQ
Volume of cone = volume of cylinder(as same volume is emptied)
1/3pie×r2×h=pie×r2×h
Radius of cylinder=3.5cm
Let height of cylinder be h
So 1/3pie×r2×h=pie×r2×h
Putt all values and h will be equal to 16cm
So 16 cm will be the height of vessel.
Height of cone=12cm
Volume of cone=1/3pie r2h
So 1/3pie(7)2×12
ATQ
Volume of cone = volume of cylinder(as same volume is emptied)
1/3pie×r2×h=pie×r2×h
Radius of cylinder=3.5cm
Let height of cylinder be h
So 1/3pie×r2×h=pie×r2×h
Putt all values and h will be equal to 16cm
So 16 cm will be the height of vessel.
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