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

User Ben Barden
by
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2 Answers

2 votes

Answer:


(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.

User JohanTG
by
7.5k points
5 votes

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

User Pbaldauf
by
8.6k points

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