Question

Find the volume of a cone with radius 10 feet and height of 4 feet.

Answer 1

`(400)/(3) \pi`

Explanation:

Formula for Cone: π
`r^(2)(h)/(3)`

Since we have all the components, we can find the volume of the cone.

R = 10

H = 4

π
`10^(2)(4)/(3)`

10×10 = 100

100π
`}(4)/(3)`

`}(4)/(3)`×100

4 100 400

--- × ----- = ------

3 1 3

Answer:
`(400)/(3) \pi`

Hope this helped.

Answer 2

Given :

Find the volume of a cone with radius 10 feet and height of 4 feet.

Solution :

Given Data :

Radius = 10 feet

Height = 4 feet

Formulae :

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \blue{ \underline{ \overline{ \green{ \boxed{ \frak{{ \sf V}olume_((Cone)) = \pi {r}^(2) (h)/(3)}}}}}}`

Putting the values we get

`\frak{ Volume_((Cone)) = 3.14 × (10)² × (4)/(3) }`

`\frak{Volume_((Cone)) = 3.14 × 100 × (4)/(3) }`

`\frak{Volume_((Cone)) = 314 * (4)/(3) }`

`\frak{Volume_((Cone)) = 418.67 \: ft³ }`

Henceforth, the volume is 418.67 ft³