Bissoy.com
Doctors Medicines MCQs Q&A

Kamala has three cylindrical containers, each with radius 20 cm that she wants to fill with grain. If her bag of grain contains 100 kg of grain, and she fills all three containers to a height of 70 cm, how much grain will be left in the bag, if 1 kg grain occupies 3000 cm3 space? (Use π = \(\frac{{22}}{7}\))

Kamala has three cylindrical containers, each with radius 20 cm that she wants to fill with grain. If her bag of grain contains 100 kg of grain, and she fills all three containers to a height of 70 cm, how much grain will be left in the bag, if 1 kg grain occupies 3000 cm3 space? (Use π = \(\frac{{22}}{7}\)) Correct Answer 12 kg

Given

Radius of cylindrical container = 20 cm

Quantity of grain in a bag = 100 kg

Formula used

Volume of cylindrical container = πr2h

where r and h are radius and height of cylindrical container respectively

Calculation

Volume of conatiner = (22/7) × 20 ×20 ×  70

⇒ 22 × 400 × 10

⇒ 88000 cm3

Three cylindrical container contain = 3 × 88000

⇒ 264000 cm3

Quantity left in bag = (100 × 3000) - 264000

⇒ 3,00,000 - 2,64,000

⇒ 36,000 cm3

1 kg = 3000 cm3 (Given)

so, 1 cm3 = (1/3000) kg

⇒ 36,000 cm3 = (1/3000) × 36,000

⇒ 12 Kg

∴ 12 kg left in grain bag.

 

Related Questions

A (a 25 year old man) was B's (a 23 year old woman) neighbour. He fell in love with her and wanted to ask her to enter into a relationship with him. He sent her a number of text messages proclaiming his love for her. She did not respond to his overtures. On November 18, 2013, A went to B's house and told her that he was in love with her, and wanted to marry her. She told him that she was not interested and asked him to leave. A believed that B was only playing hard to get, and if he persisted, she would change her mind. On November 25, 2013, when B was returning home from her workplace, A met her again and proclaimed his love for her again. She again told him that she was not interested, and threatened to complain to the police. In spite of this, a week later, when B was leaving for work, she noticed that A was waiting outside her house, with a bouquet of flowers, and he tried to give her the flowers. B ignored him once again, and went to the police station to complain about A's acts. Under what Section of the Indian Penal Code should the police register the FIR (First Information Report)
“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. 
W, a married woman lived with her husband, along with a six month old baby, but her life was miserable as her husband frequently used to beat her. She wanted to go to her pursued but her husband threatened to beat her if she dares to do so. But one day when W was missing the husband perused her and found that she was going to her parents with the baby. When W turned around and found her husband running towards her, panic stricken she along with the baby jumped into a well. The baby died but she survived. She was prosecuted for the death of the baby. What offence if any has been committed by her?
A person has 3 containers (cylindrical, spherical, and hemispherical) full of water. The radius of each container is equal and the height of the cylindrical container is 14 m. If the volume of the cylindrical container is 396 m3 and water from all three containers is put in the big cuboidal container whose length and breadth is 20 m and 12 m. How much water rises in a cuboidal container?
In the following question the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the five combinations is correct. 1 - Elizabeth-Jane had perceived from Henchard's manner that in assenting to dance she had made a mistake of some kind. P - In her simplicity she did not know what it was till a hint from a nodding acquaintance enlightened her. Q - This made her very miserable, and she looked about for her mother; but Mrs. Henchard, who had less idea of conventionality than Elizabeth herself, had gone away, leaving her daughter to return at her own pleasure.  R - Thereupon her ears, cheeks, and chin glowed like live coals at the dawning of the idea that her tastes were not good enough for her position, and would bring her into disgrace.  S - As the Mayor's step-daughter, she learnt, she had not been quite in her place in treading a measure amid such a mixed throng as filled the dancing pavilion. 2 - The latter moved on into the dark dense old avenues, or rather vaults of living woodwork, which ran along the town boundary, and stood reflecting. 
W, who had her small baby tied on her back, was proceeding towards her parental place who lived nearby. Since, her husband H, did not like her visits to her parental place prevented her from proceeding further and directed her to return her home and threatened her with dire consequences if she ventured to do so again. She felt very depressed and decided to jump into a well nearby. Unmindful of the presence of her child on her back, she jumped into the well. She survived but the child died. W is guilty of
Ashutosh has a box containing 8 identical red balls, 9 identical blue balls and 10 identical green balls. He is required to distribute all these balls into three bags A, B and C such that the total number of balls in bag A is more than that in bag B, which, in turn, is more than that in bag C. Moreover, he needs to ensure that the number or red balls in bag A is more than that in bag B which in turn is more than that in bag C, and similarly for the blue and green balls. In how many ways can he do this? Each bag must contain at least one ball of each type.
Principle: A person has got a right to defend his life or that of any other person.
Factual Situation: Sonia was returning home from work at about 10:00 pm. The cab driver dropped her at the gate of her residence. Suddenly she heard a male voice telling her to hand over her purse and Mobile. She screamed to draw the attention of her driver but the driver did not hear her and drove away. When she looked back she saw a man pointing a dagger at her. She was about to hand over her purse to the man. Hearing her cries, her neighbour, Major Singh, a military officer, looked through his window and saw the scene. He took out his gun and shot the man dead, later identified as X.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relation among the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. The options represent the relations among three quantities. A. < B. > C. ≤ D. ≥ E. = Quantity 1: There is a square field of side 4 meter. A flower bed is to be prepared in its centre, leaving a gravelled path of uniform length around the flowerbed. The cost of preparing the flowerbed and gravelling the path is Rs. 100 and Rs. 200 per square meter respectively. If the total cost is Rs. 1756 then find the double of  width of gravelled path. Quantity 2: The height of a cone is 45 cm. A small cone is cut from it parallel to the base. If the ratio of volume of small cone and the remaining part is 8 : 19 then what is the height from the base from where the cone was cut? Quantity 3: A cylindrical container of radius 60 cm and height 150 cm is filled with ice cream. 10 cones of equal volume need to be prepared from the whole ice-cream. These cones has hemispherical top and the height of the conical portion is 4 times the radius of hemisphere. Find radius of the hemisphere. 
The question below consists of a set of labelled sentences. From the four options given, select the most probable sequence to form a coherent paragraph. A. Honey did fairly well in medical school, but she lacked dedication as she was only there to please her father. B. There was a helplessness about her that the professors were unable to resist and they were all under the impression that it was they who were using her and felt guilty about taking advantage of her innocence. C. She had an aura of genuine niceness that made her professors like her and wants to succeed even though she was particularly weak in anatomy, almost to the verge of failing in an examination held in the eighth week. D. "I can't fail and let my father down." Honey thought, and one hour later, when she left the professor's office, she had the answers to the next examination.