Question

A vessel is in the form of a hemisphere bowl mounted by a hollow cylinder the diameter of the sphere is 14 cm and the total height of the vessel is 13cm find its capacity

Answer 1

may be correct..

fig'z crct....

Answer 2

Height of hemisphere = Radius of hemisphere = 14/2=7cm

Height of cylinder = Height of bowl - Radius of hemisphere

=13-7=6cm

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

=$(\frac{2}{3})*\pi r^{3}+\pi r^2h$

=$(\frac{2}{3})*(\frac{22}{7})*7^{3}+(\frac{22}{7})*7^{2}*6$

=$(\frac{2*22*49}{3})+22*42$

=$\frac{2156}{3}+924$

=$162.67cm^{3}$