Question

A vessel is in the form of a hemispherical bowl mounted by a right circular. The radius of the hemispherical part is 12.5 cm and the total height of the vessel is 25 cm . Find the capacity of the vessel​

Answer 1

Answer:

Height of cylinder= Height of bowl− Radius of hemisphere=13−7=6 cm

Now, capacity of bowl = Volume of hemisphere + volume of cylinder

=

3

2

πr

3

+πr

2

h

=

3

2

×

7

22

×7

3

+

7

22

×7

2

×6

=

3

(2×22×49)

+22×42

=

3

2156

+924

=718.67+924

=1642.67cm

3