3 A gulab jamun, contains sugar syrup up to about30% of its volume. Fi

1.	3 A gulab jamun, contains sugar syrup up to about30% of its volume. Find approximately how muchsyrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical endswith length 5 cm and diameter 2.8 cm (see Fig. 13.15).
Answer» It can be observed that Radius (r) of cylindrical part = Radius (r) of hemispherical part = 2.8/2 = 1.4 cm Length of each hemispherical part = Radius of hemispherical part = 1.4 cm Length (h) of cylindrical part = 5 − 2 × Length of hemispherical part = 5 − 2 × 1.4 = 2.2 cm Volume of one gulab jamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part πr^2h+22/3πr^3=πr^2h+4/3πr^322/71.41.42.2+4/322/71.41.41.4=25.04cm^3Volume of 45 gulab jamuns =45 x 25.05 = 1,127.25 cm^3 Volume of sugar syrup = 30% of volume = 30/100 x1127.25 = 338.17 cm^3 = 338 cm^3

3 A gulab jamun, contains sugar syrup up to about30% of its volume. Find approximately how muchsyrup would be found in 45 gulab jamuns, eachshaped like a cylinder with two hemispherical endswith length 5 cm and diameter 2.8 cm (see Fig. 13.15).

Answer»

It can be observed that

Radius (r) of cylindrical part = Radius (r) of hemispherical part = 2.8/2 = 1.4 cm

Length of each hemispherical part = Radius of hemispherical part = 1.4 cm

Length (h) of cylindrical part = 5 − 2 × Length of hemispherical part

= 5 − 2 × 1.4 = 2.2 cm

Volume of one gulab jamun = Vol. of cylindrical part + 2 × Vol. of hemispherical part

πr^2h+2*2/3πr^3=πr^2h+4/3πr^322/7*1.4*1.4*2.2+4/3*22/7*1.4*1.4*1.4=25.04cm^3Volume of 45 gulab jamuns =45 x 25.05 = 1,127.25 cm^3

Volume of sugar syrup = 30% of volume

= 30/100 x1127.25

= 338.17 cm^3

= 338 cm^3