Please explain how to get the answer.

Mathematics

2 answers:

katen-ka-za [31]3 years ago

7 0

Alrighty..

Volume of sphere = 4/3 x (pi)x r^3 .where r is the radius of a circle ..in this case the radius for the smaller circle. and the Volume of the larger one would be 4/3 x (pi)x R^3 .
so when they say the volume if the larger one is Twice the smaller one they're bascially telling you that (4/3x(pi)xR^3 = <span>2 x </span>(4/3x(pi)xr^3)

When you multiply the formula by two you'd get <span>4/3x(pi)xR^3=</span> 8/3 x (pi)x r^3

Now solve accordingly by taking 4/3 to the other side.. you'll get sth like this

(pi)R^3 = 2(pi)r^3
Cancel the pi out

now you have R^3 = 2r^3 divide the equation now by r^3
R^3/r^3 =2
you can also write this as (R/r)^3 = 2
take the power cube to the other side to get cube root of 2!!!
therefore R/r= cube root of 2

Hope this helped! :)

Maru [420]3 years ago

3 0

2r=R

Because 2 of "r" make 1 R

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Step-by-step explanation:

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