The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b

Here we need to write the volume of sphere P as a fraction of the volume of sphere R.

We will get:

The given information is:

From the first statement, we can write:

Where the 1.5 comes because the volume of sphere Q is 150% of the volume of sphere P.

From the second statement we can write:

We can rewrite this last one as:

Now we can replace this on the first equation to get:

This is the equation we wanted, the volume of sphere P as a fraction of the volume of the sphere R.

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1/2.25

Step-by-step explanation:

let volume of P be x

Q will be 1.5x

R will be 150/100* 1.5x which is 2.25x

P/R = x/ 2.25x

= 1/2.25

40 is the final : )

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step-by-step explanation:

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