Question

The base area of a cone is 38.5 cm².its volume is 77cm³.find its height
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Answer 1

Answer:

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Answer 2

Given :

The base area of a cone is 38.5 cm². Its volume is 77 cm³.

To FinD :

Its height.

Solution :

Analysis :

Here the formula of volume of cone is used. By using the base area and the volume of cone we can find the height.

Required Formula :

• Base Area = πr²

• Volume of cone = 1/3πr²h

where,

• π = 22/7
• r = radius
• h = height

Explanation :

We know that if we are given the radius and us asked to find the base radius then the request formula is,

Base Area = πr²

It is given base area = 38.5 cm².

We have to find the height of cone.

Let us assume that the height of the cone is "h" cm.

We know that if we are given the volume and πr² of the cone and is asked to find the height then our required formula is,

Volume of cone = 1/3πr²h

where,

• πr² = 38.5 cm²
• Volume = 77 cm³
• Height = h cm

Using the required formula and substituting the required values,

⇒ Volume of cone = 1/3πr²h

⇒ 77 = 1/3 × 38.5 × h

⇒ 77 = 38.5/3 × h

⇒ 77 × 3/38.5 = h

⇒ 231/38.5 = h

⇒ 6 = h

∴ Height = 6 cm.

The height of the cone is 6 cm.