Asphere is dilated by a scale factor of 5/2 to create a new sphere. how does the volume of the new sphere compare with the volume of the original sphere? a) the volume of the new sphere is 2.5 times the volume of the original sphere. b) the volume of the new sphere is 7.5 times the volume of the original sphere. c) the volume of the new sphere is 2.5^2 times the volume of the original sphere. d) the volume of the new sphere is 2.5^3 times the volume of the original sphere.

D D D D D D D !The answer to this question that you are trying to ask is d. say the sphere radius is one, if we did 4/3 of 1 cubed x 3.14, because the formula for volume is 4/3 pi R cubed, that would leave us with around 4.1., if you would take 1 times 2.5 cuz we're dilating, then you would have 4/3 of 2.5 cubed x 3.14. Now, the answer to that is around 10.46. Now, divide 10.46 bye 4.1. To get an answer of about 2.55, and remember were rounding, so if we did the exact math it would equal 2.5. so that would make it a, and I hope that you read this whole thing otherwise you just wasted all of those points... Evil Emoji evil emoji...

Option D is correct

Step-by-step explanation:

we have to compare the volume of two sphere.

which implies radius of sphere becomes 2.5 times  

As the radius of new sphere=2.5r

∴

Hence, option D is correct.

I do believe that this is a function. What do you think? Hope this helped!