Question

if a regular can is 12 cm tall and sells for $1.25 and a large can is the same shape and 16cm tall, and sells for $2.00, how much more does the large can hold?

Answer 1

do a simple comparison

let the radius = 1 unit

Volume of a Cylinder is

\[V = \pi r^2h\]

so

\[V = \pi 1^2 \times 12.... and V = \pi 1^2 \times 16\]

so the volume is increasing by

\[16\pi - 12\pi = 4\pi\]

you can see if this is still the case when the radius is 2 units

Answer 2

oops, I meant to say how many more TIMES does the larger can hold than the smaller.

Answer 3

I am sorry to seem like an idiot, but I am not sure how I am to get the exact answer if I am using a radius that was not given in the problem?

Answer 4

\[\frac{\text{Vlarge}}{\text{Vregular}}=\frac{2.}{1.25} \]\[\text{Vlarge}=1.6 \text{ * Vregular} \]