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

The height is 18.3 feet

Explanation:

Volume of a cone v =
`\pi r^(2) (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)`
`(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