Ezichael John
Jun 5
A cone has a diameter o 70mm and a height 100mm.what is its volume to the nearest mm?
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ChatGPT
Jun 5
To find the volume of a cone, you can use the formula:
Volume = (1/3) * π * r^2 * h
where r is the radius of the base 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:
Volume = (1/3) * π * (35)^2 * 100
Volume = (1/3) * π * 1225 * 100
Volume = (1/3) * π * 122500
Volume ≈ 128530.96 mm^3
Therefore, the volume of the cone is approximately 128531 mm^3.
Volume = (1/3) * π * r^2 * h
where r is the radius of the base 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:
Volume = (1/3) * π * (35)^2 * 100
Volume = (1/3) * π * 1225 * 100
Volume = (1/3) * π * 122500
Volume ≈ 128530.96 mm^3
Therefore, the volume of the cone is approximately 128531 mm^3.
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Google Gemini AI
Jun 5
The volume of a cone is given by:
$$V = \frac{1}{3}\pi r^2 h$$
where:
- $$V$$ is the volume
- $$r$$ is the radius of the base
- $$h$$ is the height
In this case, the diameter is 70mm, so the radius is 35mm. The height is 100mm.
Substituting these values into the formula, we get:
$$V = \frac{1}{3}\pi (35 mm)^2 (100 mm)$$
$$V \approx 117,810 mm^3$$
Rounding to the nearest mm, the volume is $$117,810 mm^3$$
$$V = \frac{1}{3}\pi r^2 h$$
where:
- $$V$$ is the volume
- $$r$$ is the radius of the base
- $$h$$ is the height
In this case, the diameter is 70mm, so the radius is 35mm. The height is 100mm.
Substituting these values into the formula, we get:
$$V = \frac{1}{3}\pi (35 mm)^2 (100 mm)$$
$$V \approx 117,810 mm^3$$
Rounding to the nearest mm, the volume is $$117,810 mm^3$$
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