Question

A marble paperweight shaped similar to a cone weighs 0.15 lb. How much does a similarly shaped paperweight weigh if its radius and height are twice as large?

Answer 1

Answer:

The weight of the enlarged paperweight is $1.2\ lb$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes (or its weights) is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the enlarged paperweight weight

y ----> the original paperweight weight

$z^{3}=\frac{x}{y}$

we have

$z=2$

$y=0.15\ lb$

substitute and solve for x

$2^{3}=\frac{x}{0.15}$

$x=2^{3}(0.15)=1.2\ lb$