Question

(2) There is a hemispherical bowl. A cone is to be made such that, if it is filled with water twice and the water is poured in the bowl, it will be filled just completely. State how will you decide the radius and perpendicular height of the cone

Answer 1

Answer:

Volume of bowl = 2 volume of cone

Hemisphere = cone

2/3 × pie r^3 = 2 (1/3 pie R^2 h)

2 × pie r^3 = 6 ( 1/3 pie R^2 h)

2 × pie r^3 = 2 ( pie R^2 h)

Pie r^3 = 2 ( pie R^2 h) ÷ 2

Pie r^3 = pie R^2 h

r^3 = (pie R^2 h) ÷ pie

r^3 = R^2 h

r^3 ÷ R^2 = h

h = r^3 / R^2

Hence we can put the valuse of radiusof cone and hemispherical bowl and find height of cone .