Question

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

Answer 1

Answer:

338cm³

Step-by-step explanation:

Lets first find volume of 1 gulab jamun Since gulabjamun contains one cylinder and 2 hemispheres

Volume of gulab jamun = Volume of cylinder + Volume of 2 hemispheres

Volume of cylinder

Diameter of cylinder = 2.8 cm

Radius of cylinder = ( )/2 = 2.8/2 = 1.4 cm

Here, Diameter of hemisphere = 2.8 cm

So, Radius of hemisphere = ( )/2 = 2.8/2 = 1.4 cm Now, Height of cylinder + 2 Radius of hemisphere = 5 cm

Height of cylinder = 5 2 Radius of hemisphere = 5 2 1.4 = 5 2.8 = 2.2 cm

Volume of cylinder = 2 = 22/7 (1.4)2 2.2 = 22/7 1.4 1.4 2.2 = 22 0.2 1.4 2.2 = 13.55 cm3

Volume of hemisphere

Radius of hemisphere = 1.4 cm

Volume of hemisphere = 2/3 r3 = 2/3 22/7 (1.4)3 = 2/3 22/7 1.4 1.4 1.4 = 5.75 cm3

Volume of 2 hemispheres = 2 Volume of hemisphere = 2 5.75 = 11.50 cm3

Now, Volume of gulab jamun = Volume of cylinder + Volume of 2 hemispheres = 13.55 + 11.50 = 25.05 cm3

So, volume of 1 gulabjamun = 25.05 cm3

Volume of 45 gulabjamun = 45 25.05 cm3

We need to find quantity of syrup in 45 gulabjamun

It is given that quantity of syrup in gulabjamun = 30% So, syrup in 45 gulabjamun = 30% 45 25.05 = 30/100 45 24.5 = 338.185 cm3 = 338 cm3 (approx) So, syrup in 45 gulabjamun = 338 cm3 (approx)