Question

a Gulab Jamun contains sugar syrup up to about 30% of its volume find approximately how much syrup would be found in 45 Gulab Jamun is shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm​

Answer 1

Answer:

A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup should be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with a length of 5 cm and diameter of 2.8 cm as shown in the below figure.

Answer 2

$\large\underline\mathfrak\red{Given \: :- }$

• sugar syrup up to about 30%
• Total height = 5 cm
• Length of cylinder h = 5 - 2.8 = 2.2

$\large\underline\mathfrak\red{To \: find \: :- }$

• Volume of gulab jamun

$\large\underline\mathfrak\red{Solution \: :- }$

Volume of Gulab jumun = volume of cylinder + volume of 2 hemisphere

$\large\underline\mathfrak\green{Formula \: :- }$

$\large\boxed{\bf \: volume \: = 3\pi \: r {}^{2}h + \frac{4}{3} \pi \:r {}^{3} }$

$\sf\implies{ \frac{22}{7} \times 1.4 \times 1.4 \frac{(3 \times 2.2 + 4 \times 1.4)}{3} }$

$\sf\implies{ \frac{6.16(12.2)}{3} }$

$\sf\implies{ \frac{75.152}{3} = 25.05cm {}^{3} }$

Jamuns = 45

Hence there are 45 gulab jamuns

Volume = 45 × 25.05 = 1127.2830

Percentage of syrup

$\sf\implies{volume = 1127.2830 \times \frac{30}{100} }$

Volume = 338.184cm³

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