A hemispherical bowl is completely filled with juice. The juice is transferred to a cylindrical vessel whose radius is \(50%\) greater than its height. If both vessels have the same diameter, find the percentage of juice transferred.
Answer:
Let \(r_1\) be the radius of the bowl and \(r_2\) be the radius of the cylinder.
Given, radius of the cylindrical vessel \(=\) \(50\%\) more than its height (\(h\)).
This implies, .
Volume of a cylindrical vessel \(=\) cu.units. ......(I)
Volume of a hemispherical bowl \(=\) cu.units.......(II)
From (I) and (II), we get:
Volume of a cylindrical vessel Volume of a hemispherical bowl
Therefore, the percentage of juice transferred \(=\) \(\%\)