Mathematics: A cork in the shape of a cylinder has a radius of 2 cm, a height of 5 cm, and weighs 2.5 grams. Find the volume and density of the cork. base area: volume of cork : the corks density ( # of grams over cubic centimeter) =

A cork in the shape of a cylinder has a radius

who0fade

22.01.2022

For this case we have that by definition, the density is given by:

$d = \frac {M} {V}$

Where:

M: It is the mass

V: It is the volume

We find the volume of the cylinder:

$V = \pi * r ^ 2 * h$

Where:

r: It is the radius of the cylinder

h: It is the height

$V = \pi * 2 ^ 2 * 5\\V = \pi * 4 * 5\\V = \pi * 20\\V = 62.8 \ cm ^ 3$

So the density is:

$d = \frac {2.5} {62.8}\\d = 0.04$

$d = 0.04 \frac {g} {cm ^ 3}\\Base area: 4 \pi\\Volume: 62.8 \ cm ^ 3$

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Twivo2353

02.11.2022

$(\frac{1}{2} )^{2} =\frac{1^2}{2^2} = \frac{1} {4}}$

When squaring a fraction, square both numerator AND denominator

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