Question

A cylinder and a cone have equal radii of their bases and equal heigh
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 of circular base of diameter 10 cm. What will be the height of the water in the
in the ratio 3:1.
rossel?
pfits base is 21 cm.​

Answer 1

Answer:

Here is your answer

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Answer 2

Step-by-step explanation:

Radius of the conical cup r=214=7cm and height of the cup h=18cm Therefore

Volume of water in the cup =31πr2h=31×722×7×7×18=924cm3

Now radius of the circular cylinder R=210cm=5cm

Let the height of water be H centimeters Then

Volume of water =πR2H=722×5×5×H=725×22Hcm

This volume is equal to the volume of water poured out from the cup i.e.

722×25H=924orH=22×25924×7=11.76cm

∴ Height of water in the vessel =11.76 cm