Question

1.what is the volume of the small cone in terms of pi

2.what is the volume of the large cone in terms of pi

Answer 1

Explanation:

Step 1: Find the radius of the big cone

`(radius_1)/(height_1) = (radius_2)/(height_2)`

`(2)/(5)=(x)/(10)`

`2(10)=5(x)`

`20/ 5=5x / 5`

`4=x`

Step 2: Find the volume of the small cone

`V = \frac{\pi*r^2*h} {3}`

`V = (\pi * 2^2 * 5)/(3)`

`V = (20\pi)/(3)\ units^3` ← Volume of Small Cone

Step 3: Find the volume of the large cone

`V = \frac{\pi*r^2*h} {3}`

`V=(\pi*4^2*10)/(3)`

`V = (160\pi)/(3)\ units^3` ← Volume of Large Cone