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Q.

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, each shaped like a cylinder with two hemispherical ends length 5 cm and diameter 2.8 cm.

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a

220 cubic cm

b

322 cubic cm

c

338 cubic cm

d

500 cubic cm

answer is C.

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Detailed Solution

Given, Radius of cylinder and hemisphere =2.8/2 =1.4 cm Height of cylinder=5cm-2.8=2.2 cm
Volume of gulab jamun= volume of cylinder+2 X volume of hemisphere
Volume of gulab Jamun= 𝜋𝑟2ℎ + 4 𝜋𝑟3 = 𝜋𝑟2(ℎ + 4𝑟)
3 3
Putting the values , we get volume= 25.05 cubic cm
Volume of 45 gulab jamun= 45 X 25.05=1127.25 cubic cm Volume of syrup= 0.3 X 1127.25= 338.175
=338 cubic cm

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