Bissoy.com
Doctors Medicines MCQs Q&A

A conical vessel, whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with an internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.

A conical vessel, whose internal radius is 12 cm and height 50 cm is full of liquid. The contents are emptied into a cylindrical vessel with an internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel. Correct Answer 24 cm

Let, the height of the liquid in cylindrical vessel be x cm

According to the question,

⇒ π × 102 × x = 1/3 × π × 122 × 50

⇒ 100x = 2400

⇒ x = 24

∴ The liquid will rise 24 cm in the cylindrical vessel

Related Questions

A conical vessel whose internal base radius is 18 cm and height 60 cm are full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with an internal radius of 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
A conical vessel whose internal radius is 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. What is the height to which the water rises?
A conical measuring flask, having an internal radius is 16 cm and height 30 cm, measure two times diesel into a cylindrical vessel with an internal radius of 12 cm. Find the height to which the diesel rises in the cylindrical vessel.
A conical vessel of radius 7 cm and height 30 cm is completely filled with a liquid. From it, the liquid is poured into several conical vessels of radius 5 cm and height 21 cm, thereby filling them completely. What part of the last conical vessel will remain empty? Use π = 22/7.
A conical vessel is full of water with radius 10 cm and height 54 cm. The water of the vessel poured into a cylindrical vessel having the base radius 15 cm. What will be the depth of the water in the cylindrical vessel? (Assume no water wasted)
If two conical pieces of wood are cut out from a cylindrical piece of wood from two ends whose radius and height are 7cm and 10cm, then find the total surface area of the remaining part where the radius of the conical part is the same as the radius of the cylinder and the height of the cone is 60% less than the height of the cylindrical part.
A cylindrical vessel of a radius of 20 cm and a height of 21 cm is full of water. Its contents are emptied into a rectangular tub of length 80 cm and breadth 66 cm. The height of which the water rises in the tub is:-
A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: (Take π = 22/7)
Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the ratio of coconut oil and milk in the final beaker? If contents from four vessels poured in it. I. Vessel B has 10 ml more capacity than vessel A and the ratio of coconut oil and milk in vessel B is 2 ∶ 7. Vessel C has coconut oil and milk in the ratio 2 ∶ 3 and contains 38 ml more capacity than Vessel D II. Vessel A has milk and coconut oil in the ratio 3 ∶ 5. Vessel C has 12 ml more coconut oil than vessel D.