Question

Find the volume of the cone.

Diameter: 20 m, Slant Height: 26 m
Round to the nearest whole number.
Volume
=
[?] m3

Answer 1

2513

the step-by-step explanation for height first :

`h=\sqrt{h^(2) } +r^(2) =26`

`h=\sqrt{h^(2) } +10^(2) =676`

`h=\sqrt{h^(2) } + 100 = 676`

`100-100 = 0`

`676-100=576`

`√(576)`

`height =` 24 m

________________

step-by-step explanation for the problem :

FORMULA :
`v = (1)/(3)` ·
`\pi` ·
`r^(2)` ·
`h`

v =
`(1)/(3)` ·
`\pi` ·
`10^(2)` ·
`24` =
`800\pi` =
`2513.27412` = 2513