Question

Sand is piled in the shape of a cone. If a pile of sand has a diameter of 20 feet and a volume of 610pi feet cubed, then what is the height of the pile?

Answer 1

Answer:

The height is 18.3 feet

Step-by-step explanation:

Volume of a cone v = $\pi r^{2} \frac{h}{3}$

If the diameter is 20, and diameter is 2r, that is 2 radius

∴ r = 20/2 = 10 ft

V = 610$\pi$=$\pi$$10^{2}$$\frac{h}{3}$

610$\pi$×3=10²$\pi$h

1830$\pi$ = 100$\pi$h

Divide both sides by 100$\pi$

1830$\pi$/100$\pi$ = 100$\pi$h/100$\pi$

h = 1830$\pi$/100$\pi$

h = 18.3 ft