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 jamuns is shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 CM

Answer 1

heya!!!

your answer is in the pic


hope this helps!!!

Answer 2

$\bigstar$ Given:

• Gulab Jamun contains sugar syrup up to about 30% of its volume.
• Total height of a gulab jamun = 5 cm

$\bigstar$ To Find:

• Volume of sugar syrup in 45 gulab jamuns.

$\bigstar$ Solution:

According to the question,

It is known that the gulab jamuns are similar to a cylinder with two hemispherical ends.

Given, the total height of a gulab jamun = 5 cm.

Therefore, diameter = 2.8 cm

And, radius = 1.4 cm

∴ The height of the cylindrical part = $5 cm - (1.4 + 1.4)\: cm$

$\implies 2.2 \: cm$

Now, total volume of One Gulab Jamun = Volume of Cylinder + Volume of two hemispheres

$\implies \pi r^{2} h+\frac{4}{3} \pi r^{2} \\\implies 4.312\pi + (\frac{10.976}{3}) \pi \\\implies 25.05 \: cm^{3}$

We know that, the volume of sugar syrup = 30% of total volume

So, volume of sugar syrup in 45 gulab jamuns = $40 \times 30$% $(25.05cm^{3} )$

$:\implies \boxed{\underline{\underline{45 \times 7.515 = 338.184 cm^{3}}}}$

Thus, the volume of sugar syrup in 45 gulab jamuns is 338.184 cm3

$\rule{208}{1.5}$