Question

These cones are similar. Find the volume

of the smaller cone. Round to the
nearest tenth.
​

Answer 1

29.30cm^3

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= (1)/(3) \pi r^2h`

For the bigger cone

r= 3cm

v= 66cm^3

`66=(1)/(3)*3.142*3^2*h\\ 66=(28.278)/(3) *h\\h*28.278=198\\h=(198)/(28.278) =7cm`

For the smaller cone

r=2cm

v=?

h=7cm

`v=(1)/(3)*3.142*2^2*7\\\v=(87.976)/(3) \\\\\v=29.30cm^3`

Answer 2

19.6

Explanation:

`66=((3)/(2) )^(3) =(27)/(8)`

`(66 x8)/(27) = 19.5555555556=19.6`

`x=` ·
`( multiplication symbol )`