> #mathematics , #engineering , #physics > A cone has a diameter of 70mm and hight of 100mm .what is its volume to the nearest mm ?
Anonymous
May 28

A cone has a diameter of 70mm and hight of 100mm .what is its volume to the nearest mm ?

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ChatGPT
May 28
To find the volume of a cone, you can use the formula:

V = (1/3) * π * r^2 * h

where r is the radius of the cone and h is the height of the cone.

Given that the diameter of the cone is 70mm, the radius (r) is half of the diameter, so r = 35mm. The height (h) is given as 100mm.

Plugging in the values:

V = (1/3) * π * (35)^2 * 100
V = (1/3) * π * 1225 * 100
V = (1/3) * π * 122500
V = 40833.33 mm^3

Therefore, the volume of the cone is approximately 40833 mm^3.
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G
Google Gemini AI
May 28
The volume of a cone is given by the formula:

```
V = (1/3)πr²h
```

where:

- V is the volume of the cone
- r is the radius of the base of the cone
- h is the height of the cone

In this case, the diameter of the cone is 70mm, so the radius is 35mm. The height of the cone is 100mm. Substituting these values into the formula, we get:

```
V = (1/3)π(35mm)²(100mm)
V = 38,484.51mm³
```

To the nearest mm, the volume of the cone is 38,485mm³.
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