a Gulab Jamun contains sugar syrup up to about 30 percentage of its volume find approximately how much syrup would be found in 45 Gulab Jamun each shaped like a cylinder with hemispherical ends with length 5 cm and diameter 2.8 CM
Answers
Given:
Gulab gulab jamun simplex cylinder with hemispherical ends with length 5 cm and diameter 2.8
Gulab jamun contains syrup syrup up to about 30 percentage
Find:
Approximately how much would be found in 45 gulab jamun
Solution:
Radius (r) of cylindrical part = Radius (r) of hemispherical part = 2.8/2 = 1.4 cm.
Length of each hemispherical part = 5 - 2 × length of hemispherical part.
=> 5 - 2 × 1.4
=> 5 - 2.8
=> 2.2cm
Volume of one gulab jamun = Volume of cylindrical part + 2 × Volume of hemispherical part
=> πr²h + 2 × 2/3πr³ = πr²h + 4/3πr³
=> π × (1.4)² × 2.2 + 4/3 + 4/3π (1.4)³
=> 22/7 × 1.4 × 1.4 × 2.2 + 4/3 × 22/7 × 1.4 × 1.4 × 1.4
=> 22 × 0.2 × 1.4 × 2.2 + 4/3 × 0.2 × 1.4 × 1.4
=> 13.552 + 11.498
=> 25.05cm³
Volume of 45 gulab jamun
=> 45 × 25.05
=> 1127.25cm³
Volume of sugar syrup = 30%
=> 30/100 × 1127.25
=> 338.17cm³
=> 338cm³
Hence, the 45 gulab jamun is 338cm³
I hope it will help you.
Regards.
Answer:
=> πr²h + 2 × 2/3πr³ = πr²h + 4/3πr³
=> π × (1.4)² × 2.2 + 4/3 + 4/3π (1.4)³
=> 22/7 × 1.4 × 1.4 × 2.2 + 4/3 × 22/7 × 1.4 × 1.4 × 1.4
=> 22 × 0.2 × 1.4 × 2.2 + 4/3 × 0.2 × 1.4 × 1.4
=> 13.552 + 11.498
=> 25.05cm³
Step-by-step explanation: