Question

A Gulab Jamun contains sugar syrup up to about 30 percentage of its volume find the approximately how much syrup that would be found in 45 gulab jamuns , each shaped like a cylinder with hemispherical ends with length 5 cm and diameter 2.8 CM

Answer 1

d-2.8
r-1.4
height of cylinder-5-2.8
2.2
volume of one gulab jamun- bol. of 2hemisphere+vol. of cylinder=22\7×1.4×1.4×122/30
vol. of 45gulab jamuns =×by 45 =22/7×1.4×1.4×122/30×45=1127.28
volume of sugar syrup=1127.28×30/100
=338.184

Answer 2

Hey there !!

We have

Total length of the gulab jamun = 5 cm

length of the cylindrical part of gulab jamun = 5 cm - 2.8
= 2.2 cm

r =
$\frac{2.8}{2} \\ = > 1.4 \\ \\ = > \frac{7}{5} cm$
volume of one gulab jamun =
$2 \times \frac{2}{3} \pi \: {r}^{3} + \pi \: {r}^{2} \: h \: \\ \\ = > \frac{22}{7} \times \frac{7}{5} \times \frac{7}{5} ( \frac{4}{3} \times \frac{7}{5} + \frac{11}{5} ) \\ \\ = > \frac{154}{25} ( \frac{28}{15} + \frac{11}{5} ) \\ \\ = > 6.16 \times \frac{61}{15} \\ \\ = > 0.4107 \times 61 \\ \\ = > 25.0527 \ {cm}^{3} \\ \\ volume \: of \: 45 \: gulab \: jamun \: = 45 \times 25.05 \\ \\ = > 1127.25 {cm}^{3} \\ \\ according \: to \: the \: Question \: \: \\ \\ \frac{30}{100} \times 1127.25 \\ \\ = > 338.175 {cm}^{3}$
Hope this would help u !!