Find the height of the water in the cylinder.

A vessel in the form of a hemispherical bowl is full of water. The contents are emptied into a cylinder. The internal radii of the bowl and cylinder are respectively 6 cm and 4 cm. Find the height of the water in the cylinder.

Solution:

Radius of hemispherical bowl = 6 cm
.’. Volume of the water in the bowl

The diameter of a metallic sphere is 42 cm. It is metled and drawn into a cylindrical wire of 28 cm diameter. Find the length of the wire.

Solution:

Diameter of sphere = 42 cm
Radius of sphere = = 21 cm

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