 Hi and welcome to the session. Let's work out the following question. The question says a hemispherical bowl of internal radius 9 cm is full of liquid. The liquid is to be filled into cylindrical shaped small bottles each of diameter, 3 cm and height 4 cm. How many bottles are needed to empty the bottle? Sorry, it is bowl. So how many bottles are needed to empty the bowl? Now we see that let this be the hemispherical bowl of internal radius 9 cm. This is full of liquid. Now this liquid is to be filled into this cylindrical shaped small bottles each of diameter, 3 cm radius will be 3 by 2 cm, height is 4 cm. Let us start with the solution to this question. Let radius of hemispherical bowl at its capital R be equal to 9 cm. Therefore volume say V1 will be equal to 2 by 3 pi R cube because the volume of a hemispherical bowl will be 2 by 3 into pi into cube of the radius. That is 2 by 3 into pi into 9 cube. So we call this 1. Now radius of the cylindrical bottle is 3 by 2 cm, height is 4 cm. Therefore volume say V2 of cylindrical bottle will be pi R square H that is equal to pi into 3 by 2 the whole square into 4 that is equal to pi into 3 by 2 into 3 by 2 into 4 and this we call equation 2. Now number of bottles say small n is equal to volume of bowl divided by volume of bottle. This is equal to V1 upon V2. This is equal to 2 by 3 into pi into 9 into 9 into 9 divided by pi into 3 by 2 into 3 by 2 into 4. This is equal to 2 into 9 into 9 into 9 divided by 3 into 9 and this is equal to 54 bottles. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.