Question

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

Answer 1

Total $h=5$cm

length of the cylinder $h=5-2.8=2.2$

volume of gulab jamun$=$volume of cylinder$+$volume of $2$

hemispheres.

volume$=3\pi r^{2}h+\frac{4}{3}\pi r^3$

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

$=\frac{6.16\left(12.2\right)}{3}$

$=\frac{75.152}{3}=25.05$cm cube.

jamuns$=45$

Hence there are $45$ gulab jamuns

volume$=45\times 25.05=1127.2830$ percentage of syrup.

volume $=1127.28\times \frac{30}{100}=338.184cmcube.$