Two containers hold water side by side both in the shape of a cylinder. container A has a diameter of 16 ft and a height of 19ft. container b has a diameter of 20 feet and a height of 15 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 percentage of container b after the pumping is complete

Question

Mathematics

Anvil

8 June, 16:56

Two containers hold water side by side both in the shape of a cylinder. container A has a diameter of 16 ft and a height of 19ft. container b has a diameter of 20 feet and a height of 15 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 percentage of container b after the pumping is complete

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Jaylah Sloan · Answer 1

about 81.1%

Step-by-step explanation:

Volume is proportional to the height and the square of the diameter. This means the ratio of volumes of the two containers is ...

(Volume A) / (Volume B) = (16²·19) / (20²·15) = 4864/6000 ≈ 81.1%

The volume of container A fills about 81.1% of container B.