Question

These cones are similar. Find the volumeof the smaller cone. Round to thenearest tenth.​

Answer 1

Answer:

29.30cm^3

Step-by-step explanation:

If the two cone are similar then the heights are the same

let us find the height of the bigger cone

$volume of cone= \frac{1}{3} \pi r^2h$

For the bigger cone

r= 3cm

v= 66cm^3

$66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm$

For the smaller cone

r=2cm

v=?

h=7cm

$v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3$