Apurva0614
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.


[tex]\color {white}\boxed{\colorbox{black} { QUESTION♡}} [/tex]
​ ​ 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 ??
✦no spam
✦proper solving
✦diagram if necessary
plss help !!​

Sagot :

fieryanswererft

60 bottles required.

calculate the volume of both shapes

For hemispherical bowl:

[tex]\sf volume: \dfrac{2}{3} \pi r^3[/tex]                         [diameter: 30 cm, radius: 15 cm]

[tex]\rightarrow \sf volume: \dfrac{2}{3} \pi (15)^3[/tex]

[tex]\rightarrow \sf volume: 2250\pi \ cm^3[/tex]

For each cylindrical bottles:

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

[tex]\rightarrow \sf volume: \pi (2.5)^2(6)[/tex]

[tex]\rightarrow \sf volume: 37.5 \pi \ cm^3[/tex]

So number of required bottles:

  • volume of hemisphere/volume of each cylindrical bottle
  • 2250π/37.5π
  • 60 bottles
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.