Question

`\color {white}\boxed{\colorbox{black} { QUESTION♡}}`

​ ​ A hemispherical bowl of internal diameter 30 cm contains liquid liquid is to be filled into a cylindrical shape bottles each of diameter 5 cm and height 6 cm find the number of bottles necessary to empty. the bowl ??
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Answer 1

60 bottles required.

calculate the volume of both shapes

For hemispherical bowl:

`\sf volume: (2)/(3) \pi r^3` [diameter: 30 cm, radius: 15 cm]

`\rightarrow \sf volume: (2)/(3) \pi (15)^3`

`\rightarrow \sf volume: 2250\pi \ cm^3`

For each cylindrical bottles:

`\sf volume: \pi r^2h` ["r" is 2.5 cm, "h" is 6 cm]

`\rightarrow \sf volume: \pi (2.5)^2(6)`

`\rightarrow \sf volume: 37.5 \pi \ cm^3`

So number of required bottles:

• volume of hemisphere/volume of each cylindrical bottle

• 2250π/37.5π

• 60 bottles