Question

I need help with this math problem

Answer 1

❍ Question -:

A cone has a base that is 21.9 feet squared and a height that is 6.1 feet. Find its volume in cubic feet.

❍ Explanation -:

In this question we are provided with the base of the cone that is 21.9 feet and height of the cone is 6.1 feet. We are asked to calculate the volume of the cone.

We know,

`\star \: \small \underline{\boxed{ \rm{ Volume_((cone)) = (1)/(3) × b × h}}}`

Where,

• b stand for base
• h stand for height

Substituting the values we get

`\small\sf{ Volume_((cone)) = (1)/(3) × 21.9 × 6.1}`

`\rightarrow \small\sf{ Volume_((cone)) = \frac{1}{ \cancel{3}} × \cancel{ 21.9} \: 7.3 × 6.1}`

`\rightarrow \small\sf{ Volume_((cone)) = 7.3 × 6.1 = 44.53}`

Volume of the cone = 44.53 feet³.

Answer 2

44.5 ft³

Explanation:

The formula for the volume of a cone is ...

V = 1/3Bh

where B is the base area and h is the height.

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Using the given dimensions, we find the volume to be ...

V = 1/3(21.9 ft²)(6.1 ft) = 44.53 ft³

The volume of the cone is about 44.5 cubic feet.