A cylindrical vessel open at top contains water upto  (13rd) to its height. A heavy sphere whose diameter is equal to the height of the cylinder is placed into the vessel touching its curved surface from all sides. Then which of the following statements is not true?

The diagram shows a cylinder with radius 8 cm inside a sphere with radius 17 cm.Both ends of the cylinder touch the curved surface of the sphere.(i) Show that the height of the cylinder is 30 cm.

The surface of water inside the graduated cylinder shapes curve because of the cohesive force between the water molecules and the side of the cylinder wall.Question 3Select one:TrueFalse

Sunita had a hemispherical bowl of radius 𝑟.She made a conical vessel of radius 𝑟 with a tinsheet.(i) find the height of the conical vessel so that it canhold the water same as that of the hemisphericalbowl.(ii) If the radius of the cone formed in the above part is 14 cm, then find how much sheet isused?(iii) If the height of the conical vessel is doubled, how much more water can it hold than thehemispherical bowl?

A sphere fits exactluy into a cylinder, the sphere is touching both circular faces of the cylinder. What fraction of the cylinder's volume does the sphere take up?

Which of the following statements is true about an object that is neutrally buoyant in a fluid?2 marksIts weight is zeroIt displaces its own volume of fluidIts density is equal to the density of the fluidIt sinks to the bottom