A conical cup 18 cm high has a circular base of diameter 14 cm. The cup is full of water, which is now poured into a cylinder vessel of circular base of diameter 10 cm. What will be the height of water in the vessel?
A-25π
B-15π
C-10π
D-20π
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Answer:
Radius of the conical cup r=14 by 2 =7cm and height of the cup h=18cm Therefoe
Step-by-step explanation:
volume of water in the cup=1 by 3 πr²h=1 by 3×22 by 7 ×7×7×18=924cm²
Now radius of the circular cylinder R=10/2cm=5cm
Let the height of water be H centimetres Then
Volume of water=πr²h=22/7×5×5×h=25×22/7 HCM
This volume is equal to the volume of water poured out from the cup i.e.
22/7×25h=924 or h=924×7/22×25=11.76cm
therefore height of water in the vessel=11.76cm
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