At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.


To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

pleaseee help meee


Sagot :

9514 1404 393

Answer:

  65.6%

Step-by-step explanation:

The question is essentially asking the ratio of the volumes.

  Va = πr²h = π(15²)(20)

  Vb = πr²h = π(19²)(19)

The ratio of volumes is ...

  Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607

Container B will be about 65.6% full when container A is empty.