A cylindrical vessel of radius 6 cm contains water to a height of 10 cm. A solid sphere of radius 3 cm is dropped in and is completely submerged. Find the rise in the water level.
Cylinder, Cone and Sphere
Original Khojo Papers practice question — not from a past board paper.
243.83 cm3 approximately
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Volume of the cone = (1/3) × 22/7 × 12.25 × 12 = 154 cm3. Volume of the hemisphere = (2/3) × 22/7 × 42.875 = 89.83 cm3. The total is about 243.83 cm3.
From the same topic and chapter, at a similar level.
A cylindrical vessel of radius 6 cm contains water to a height of 10 cm. A solid sphere of radius 3 cm is dropped in and is completely submerged. Find the rise in the water level.
Cylinder, Cone and Sphere
A solid cylinder of radius 6 cm and height 15 cm is melted and recast into spheres of radius 3 cm. How many spheres are formed?
Cylinder, Cone and Sphere
A metallic sphere of radius 3 cm is melted and recast into a cone of base radius 6 cm. Find the height of the cone.
Cylinder, Cone and Sphere
A solid metallic sphere of radius 6 cm is melted and recast into small cones, each of radius 2 cm and height 3 cm. Find the number of cones formed.
Cylinder, Cone and Sphere
Find the total surface area of a cone of radius 7 cm and slant height 25 cm. Take π = 22/7.
Cylinder, Cone and Sphere
Find the volume of a cylinder of radius 7 cm and height 10 cm. Take π = 22/7.
Cylinder, Cone and Sphere