Question

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

Answer 1

Step-by-step explanation:

Step 1:  Find the radius of the big cone

$\frac{radius_1}{height_1} = \frac{radius_2}{height_2}$

$\frac{2}{5}=\frac{x}{10}$

$2(10)=5(x)$

$20/ 5=5x / 5$

$4=x$

Step 2:  Find the volume of the small cone

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

$V = \frac{\pi * 2^2 * 5}{3}$

$V = \frac{20\pi}{3}\ units^3$ ← Volume of Small Cone

Step 3:  Find the volume of the large cone

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

$V=\frac{\pi*4^2*10}{3}$

$V = \frac{160\pi}{3}\ units^3$ ← Volume of Large Cone