A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm
Text Solution
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Total volume of gulab Jamun= volume of sphere+volume of cylinder
=`4/3pir^3+pir^2h` =`22*0.2*1.4*12.2/3` Total syrup of volume=30/100*volume of gulab jamun *tatal number of gulab jamun.
=`3/10*22*.2*1.4*12.2*45/3`
=`338.184 cm^3`
=`4/3pir^3+pir^2h` =`22*0.2*1.4*12.2/3` Total syrup of volume=30/100*volume of gulab jamun *tatal number of gulab jamun.
=`3/10*22*.2*1.4*12.2*45/3`
=`338.184 cm^3`
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Read the following passage and answer the questions given after it. The Celts who lived in Britain before the Roman invasion of 43 AD could be said to have created the first towns. Celts in southern England lived in hill forts, which were quite large settlements. (Some probably had thousands of inhabitants). They were places of trade, where people bought and sold goods and also places where craftsmen worked. The Romans called them oppida. However, the Romans created the first settlements that were undoubtedly towns. Roman towns were usually laid out in a grid pattern. In the centre was the forum or market place. It was lined with public buildings. Life in Roman towns was highly civilized with public baths and temples. From the 5th century Angles, Saxons and Jutes invaded England. At first, the invaders avoided living in towns. However, as trade grew some towns grew up. London revived by the 7th century (although the Saxon town was, at first, outside the walls of the old Roman town). Southampton was founded at the end of the 7th century. Hereford was founded in the 8th century. Furthermore, Ipswich grew up in the 8th century and York revived. However, towns were rare in Saxon England until the late 9th century. At that time, Alfred the Great created a network of fortified settlements across his kingdom called ‘burhs’. In the event of a Danish attack, men could gather in the local burh. However, burhs were more than forts. They were also market towns. Some burhs were started from scratch but many were created out of the ruins of old Roman towns. Places like Winchester rose, phoenix-like, from the ashes of history. The thing that would strike us most about medieval towns would be their small size. Winchester, the capital of England, probably had about 8,000 people. At that time a 'large' town, like Lincoln or Dublin had about 4,000 or 5,000 inhabitants and a 'medium sized' town, like Colchester had about 2,500 people. Many towns were much smaller. However, during the 12th and 13th centuries most towns grew much larger. Furthermore, many new towns were created across Britain. Trade and commerce were increasing and there was a need for new towns. Some were created from existing villages but some were created from scratch. In those days you could create a town simply by starting a market. There were few shops so if you wished to buy or sell anything you had to go to a market. Once one was up and running, craftsmen and merchants would come to live in the area and a town would grow. Match the words with their meaning. a. founded 1. protected b. declined 2. created c. fortified 3. dwindled
A
a-2, b-1, c-3
B
a-2, b-3, c-1
C
a-1, b-3, c-2
D
a-3, b-2, c-1
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