Question

Match each ratio of the volumes of two solids to the pair of solids it represents.

Answer 1

Find the equation for the volume of each solid. Set up a ratio with the equations. The first set will be 3:1.

Answer 2

V=4/3πr^3 and V=πr^2h

Answer 3

v= 4/3*r^3 ans v=r^2h... how do you set up the ratio @alahnahgrace

Answer 4

can someone help me set up the ratio?

Answer 5

@inkyvoyd @aaronq @acxbox22 @ayyookyndall

Answer 6

@kohai @sleepyjess @AlexandervonHumboldt2 @alyssa_michelle1996

Answer 7

as far as I can tell, your shapes are pretty much just 3
a cylinder, a sphere and a cone, right

let us find the volume ratio of the 1st one
from a Cylinder to a Cone
so \(\bf \textit{volume of a cylinder}=\pi r^2h\qquad \textit{volume of a cone}=\cfrac{\pi r^2h}{3}
\\ \quad \\
ratio\implies \cfrac{\pi r^2h}{\frac{\pi r^2h}{3}}\implies \cfrac{\cancel{ \pi r^2h}}{1}\cdot \cfrac{3}{\cancel{ \pi r^2h}}\)

see the ratio of that one?

notice that, to get the ratio, you pretty much just put the formula of one over the other
and divide and simplify