Q. 53.9( 311 Votes )
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Answer :
.................LEAD SHOTS EACH OF DIAMETER = 0.5 CM
When lead shots are dropped in the Vessel, the same amount of water will come out of the vessel as the Total Volume Of Lead Shots.
Height (h) of conical vessel = 8 cm
Radius (r1 ) of conical vessel = 5 cm
Radius (r2 ) of lead shots = 0.5 cm
Volume of water = Volume of Vessel
Let n number of lead shots were dropped in the vessel
Volume of water spilled = Volume of dropped lead shots
Hence, the number of lead shots dropped in the vessel is 100.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
PREVIOUSA pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by3.5 cm. The radius of each of the depressions is 0.5cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (see Fig. 13.16)NEXTA solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of iron has approximately 8gm mass. (Use π = 3.14)
Related Videos
Surface Area and Volumes43 mins
RD Sharma | Imp Concepts : Surface Area And Volumes43 mins
RD Sharma | Surface Area And Volumes43 mins
IMP Formula's and Qs For Surface Area and Volumes45 mins
RD Sharma | Imp. Qs. From Surface Area And Volumes47 mins
Quiz | Surface Area and Volumes42 mins
Surface Area and Volume49 mins
Areas Related to Circle36 mins
Quiz | Areas Related to Circles43 mins
Foundation | Let's Understand Some High Level Concepts41 mins
Surface Area and Volumes43 minsRD Sharma | Imp Concepts : Surface Area And Volumes43 minsRD Sharma | Surface Area And Volumes43 minsIMP Formula's and Qs For Surface Area and Volumes45 minsRD Sharma | Imp. Qs. From Surface Area And Volumes47 minsQuiz | Surface Area and Volumes42 minsSurface Area and Volume49 minsAreas Related to Circle36 minsQuiz | Areas Related to Circles43 minsFoundation | Let's Understand Some High Level Concepts41 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
