Question

A conical vessel of radius 7 cm and height 10 cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just immersed as shown in figure What fraction of water over flows?​

Answer 1

Step-by-step explanation:

From the similarity of triangles

$8 - r \: = r\\ 10 \: \: \: \: \: \: \: \: \: 6$

48-6r=10r

r=3

Fraction of water overflows

$= volume \: of \: sphere \: \\ volume \: of \: cone$

Refer to the attachment