Question

A cylindrical vessel with internal diameter 10cm and height 10.5cm  is full of water. A solid cone of base diameter 7cm and height 6cm is completely immersed in water. Find value of water 

(i) displaced out of the cylinder 

(ii) left in the cylinder?

Answer 1

Given internal radius (r₁) = 10/5 = 2cm

Height of cylindrical vessel (h) =10.5cm

Outer radius of cylindrical vessel (l₂) = 7/2 = 3.5cm

Length of cone (l) = 6cm.

(i) Volume of water displaced = volume of cone

(ii) Volume of water left in cylinder = volume of Cylinder – volume of cone

= 825 - 77 = 748cm

Volume of water left in cylinder = 748cm³