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A and b are two similar cylindrical containers surface area of container A : surface are of container b 4:25

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*Complete Question:

A and B are two similar cylindrical containers.

Surface area of container A: surface area of container B = 4:25

Warda fills container A with oil.

She then pours all the oil into container B.

Warda repeats this and stops when container B is full of oil.

Work out the number of times that Warda fills container A with oil.

Answer/Step-by-step explanation:

We are given that the ratio of surface area of cylinder A to cylinder B = 4:25

To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.

✔️First, find the linear measurement using the ratio of their surface area by taking their square root:

4:25 = √4/√25 = 2/5

Linear measurement of A to B = 2:5

The ratio of their volume = the cube of the ratio of their linear measurement

Thus, the ratio of the volume of A to B = 2³:5³ = 8:125

For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.

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