Bissoy.com
Doctors Medicines MCQs Q&A

In a party, disposable cups in the shape of frustum of cone, with upper diameter 6 cm, lower diameter 4 cm and height 9 cm are arranged for serving water. A cylindrical shaped jug of height 15 cm and diameter 14 cm was used for serving water. How many disposable cups can be completely filled using 19 jugs of water?

In a party, disposable cups in the shape of frustum of cone, with upper diameter 6 cm, lower diameter 4 cm and height 9 cm are arranged for serving water. A cylindrical shaped jug of height 15 cm and diameter 14 cm was used for serving water. How many disposable cups can be completely filled using 19 jugs of water? Correct Answer 245

For a frustum of cone with base radii of R1 and R2 units and height of H units,

Volume of frustum of cone = (1/3) πH (R12 + R22 + R1R2)

⇒ Volume of a disposable cup = (1/3) π × 9 × (32 + 22 + 3 × 2) = 57π cm3

Also, volume of cylinder with radius r and height h = πr2h

⇒ Volume of a cylindrical jug = π × 7 × 7 × 15 = 735π cm3

∴ No. of cups that can be filled by 19 jus of water = (735π × 19) /57π = 735/3 = 245

Related Questions

Study the following information carefully and answer the question based on it. Eight jugs - P, Q, R, S, T, U, V and W are placed in a row facing north. Jug T is placed third to the right of jug U which is placed at one of the extreme end. Jug S is placed somewhere to the right of jug T but not at the extreme end. Jug R is placed 2nd to the right of jug U. jug Q is placed between jug U and jug R. jug P is placed 4th to the right of jug Q and to the immediate right of jug P is jug V. Which of the following statement is true?
A cylindrical jug whose radius is 21 cm and height is 32 cm is full of coffee and this has to be poured into some cups. The shape of the cups is a frustum of the cone having end radii 5 cm and 3 cm and the cup is 12 cm high. Find the number of cups that can be filled, if 50% cups are filled upto their 50% capacity only and rest 50% are filled completely?
Read the given statement and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: 1. All bottle are jugs. 2. Some jugs are glasses. Conclusion: I. Some jugs are bottles. II. Some glasses are jugs. III. All glasses are bottles.
A cone of radius 7 cm and slant height 15 cm was cut horizontally, resulting in a smaller cone and a frustum of a cone. If the ratio of the curved surface area of the upper and the lower part is 1 : 2, What will be the slant height of the frustum formed?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if the appears to be at variance with commonly known facts, decide which of the given conclusions logically follows(s) from the statements. Statements: 1. No bottle is a pen 2. All jugs are bottles. Conclusions: I. Some jugs are pens. II. No jug is pen III. Some bottles are jugs.
In the question below are given two statements followed by three conclusions I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: No pot is jug. All pots are tubes. Conclusions: I. Some tubes are jugs. II. Some jugs are tubes. III. No jug is tube.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some jugs are bottles. No bottle is a candy. All spoons are bottles. Conclusions: I. Some jugs are spoons. Il. No spoon is a candy. Ill. No jug is a spoon. IV. No jug is a candy.
The sum and difference of the slant height and height of cone A are in the ratio 3 ∶ 1, while the sum and difference of the slant height and height of cone Y are in the ratio 5 ∶ 1. If the volume of cone A is 30% of the volume of cone B, then the height of cone A is what percentage of the height of cone B.
A square pyramid shaped toy is cut horizontally from 9 cm height to make a frustum. The base side and upper side of the frustum are 20 cm and 12 cm respectively. What is the volume of the square pyramid frustum?
A water filter can be filled with 8 jugs of capacity 1.3 liters each. How many jugs are required to fill the same filter, if capacity of the jug is 0.8 liters?