 Hello and welcome to the session. I am Deepika here. Let's discuss a question which says in given figure a Gulaab German contains sugar syrup up to about 30% of its volume find Approximately how much syrup would be found in 45 gulaab Germans? each shaped like a cylinder with two Hemispherical and with length 5 centimeter undiameter 2.8 centimeter Now we know that volume of cylinder is equal to R-Sphere H and Volume of hemisphere is equal to 2 by 3 pi R cube Where R is the radius H is the height. So this is a key idea behind our question We will take the help of this key idea to solve the above question. So let's start the solution Now it is given that each gulaab German shaped like a cylinder with two Hemispherical ends with length 5 centimeter so this total length is 5 centimeter and Diameter 2.8 centimeter This is the diameter of the gulaab German is 2.8 centimeter Therefore the radius of is equal to radius of cylindrical part That is R is equal to 8 upon 2 centimeter, which is equal to 1.4 centimeter therefore the length of two hemispherical ends is Equal to 1.4 centimeter plus 1.4 centimeter and this is equal to 2.8 centimeter Now the total length of the gulaab German is 5 centimeter therefore the length of the cylindrical part equal to total length of the gulaab German minus length of two Hemispherical ends is equal to 5 centimeter minus 2.8 centimeter and this is equal to 2.2 centimeter Hence this length that is the length of the cylindrical portion is 2.2 centimeter Now volume of gulaab German is equal to volume of cylindrical part cylindrical part volume of two hemispherical ends According to our key idea volume of cylinder is equal to pi R square H into Volume of hemisphere is 2 by 3 pi R cube. Let us take pi R square common We have volume of gulaab German is equal to pi R square into H plus This is again equal to take pi is equal to 22 upon 7 into R is 1.4 centimeter 1.4 into 1.4 into H 2.2 Because the height of the cylindrical part is 2.2 centimeter plus 4 by 3 into R R is 1.4 centimeter So the volume of the gulaab German is 22 upon 7 into 1.4 into 1.4 into 2.2 plus 4 by 3 into 1.4 centimeter cube and this is equal to 22 into 0.2 into 1.4 into 2.2 plus 5.6 upon 3 centimeter cube and This is again equal to 6.16 into Take 3 LCM inside the bracket we get 6.6 plus 5.6 upon 3 centimeter cube and this is again equal to 6.16 into 12.2 upon 3 centimeter cube and this is equal to 75 point 152 upon 3 centimeter cube and this is equal to 25.05 centimeter cube therefore volume of each gulaab German is equal to 25.05 centimeter cube Now it is given a gulaab German contains sugar syrup up to about 30 percent of its volume So sugar syrup is equal to 30 percent volume of gulaab German therefore volume of sugar syrup for each gulaab German equal to 30 percent of Let us take the approximate value of 25 point zero five which is 25 30 percent of 25 and this is equal to 30 upon 100 into 25 centimeter cube So on cancellation we have this is equal to 15 upon 2 centimeter cube or this is equal to 7.5 centimeter cube therefore volume of sugar syrup for 45 gulaab Germans is equal to 7.5 into 45 centimeter cube and this is equal to 37.5 centimeter cube therefore volume of sugar syrup for 45 gulaab Germans is equal to 338 centimeter cube Approximately for the above question is 338 centimeter cube. I hope the solution is clear to you. Bye and take care