32. A cylindrical vessel with internal diameter 10cm and height 10.5 cm is full of water. A solid cone of base diameter 7cm height 6cm is completely immersed in water. Find the volume of (i) Water displaced out of the cylindrical vessel (ii) Water left in the cylindrical vessel.
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Volume of water = 22/7 x 5² x 10.5 = 825 cm³
Volume of cone = 1/3 x 22/7 x 3.5² x 6 = 77 cm³
(i) Volume of water displaced = Volume of cone = 77 cm³
(ii) Volume of water left = 825 - 77 = 748 cm³
Note:
Diameter of cylinder = 10 cm ⇒ Radius = 5 cm
Diameter of cone = 7 cm ⇒ Radius = 3.5 cm
Volume of cone = 1/3 x 22/7 x 3.5² x 6 = 77 cm³
(i) Volume of water displaced = Volume of cone = 77 cm³
(ii) Volume of water left = 825 - 77 = 748 cm³
Note:
Diameter of cylinder = 10 cm ⇒ Radius = 5 cm
Diameter of cone = 7 cm ⇒ Radius = 3.5 cm
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