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3 years ago

How do you calculate the volume of a cone when given the height and diameter describe the steps used to solve

Mathematics

1 answer:

SpyIntel [72]3 years ago

7 0

The photo is an example.
Divide the diameter by 2 to get the radius.
Then times 1/3 time Pi times the radius squared times the height.
The formula is V=1/3(Pi)(radius squared)(height)

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3 years ago

Read 2 more answers

Please help as soon as possible <br>it's due tomorrow

erma4kov [3.2K]

Answer:

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V = Bh = l * w * h

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3 years ago

A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

pychu [463]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V_1=\pi r^2H$

r - radius

H - height

The formula of a volume of a cone:

$V_2=\dfrac{1}{3}\pi r^2H$

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

$V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}$

Therefore:

$V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3$

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