Question

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

Answer 2

Answer:

Step-by-step explanation:

Let, the perpendicular height of cone be 'h'.

Let, the radius of base of cone be 'r'

Volume of cone =

By given condition-

Volume of sphere = 2 × Volume of cone

After calculating-

Ans. The radius and height of cone must be equal to fill the spherical bowl in 2 attempts.