Question

If the volume of the smaller sphere is 16 in3, what is the volume of the larger sphere?


96 in3
128 in3
512 in3
64 in3

Answer 1

\[V=\frac{4}{3}\pi r^3\]
If you double the radius, the new volume will be 8 times the original volume

Answer 2

how do i double the volume

Answer 3

what?

Answer 4

i mean the radios

Answer 5

You don't have to double it, just know that when you do double the radius, the volume is multiplied by 8

Answer 6

huh?

Answer 7

\[V=\frac{4}{3}\pi (2r)^3\]
Multiply the original volume by 8, so 16*8=128

Answer 8

The cube of the scale factor is equal to the the ratio of the volumes of similar solids.

16/L = (1/2)^3

16/L = 1/8

Cross multiply and solve for L