Question

ANSWERS GET MEDALS!!!!!!
Maddy manufactures kaleidoscopes in the shape of cylinders. She wants all of the kaleidoscopes to have the same fixed volume. This implies that the height of a given kaleidoscope will vary inversely with the square of its diameter. One of the kaleidoscopes has a diameter of 2 inches and a height of 16 inches. If another kaleidoscope has a height of 4 inches, what should its diameter be?

Answer 1

1/2 in

Answer 2

height varies inversely with square of diameter. height went down by a factor of 4, so diameter must go up by a factor of square root of 4...

Answer 3

what would it be then hickninja??

Answer 4

square root of 4 is 2. so diameter should go up 2x. you need to take the last step...

Answer 5

4?

Answer 6

yep!

Answer 7

kool