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33 votes
33 votes
find the density of a wooden cone with a height of 100 cm and a radius of 25cm the mass is 18000 grams round to the nearest hundredth

User Helllomatt
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1 Answer

27 votes
27 votes

The relationship for density is the ratio between mass and volume. The formula for density is:


d=(m)/(v)

Therefore, we first need to find the volume of the cone. The formula to find the volume of a cone is:


v=\pi r^2(h)/(3)

The h stands for the height of the cone and the r stands for the radius of the cone. We can input the values we have already to find the measurement of volume for the cone.


v=\pi(25)^2(100)/(3)
v=(62500\pi)/(3)\approx65450\operatorname{cm}^3

The volume of the cone is 65450 cubic centimeters.

Now, we use the formula for density and create the ratio.

User Pavel Korsukov
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