Question

A solid cylinder has a radius of 4 cm and a height of 10 cm. The cylinder is made from wood and has a density of 0.6 grams/cm3. What is the mass of the cylinder? Round your answer to the nearest hundredth.

Answer 1

For this case we have that by definition:

ρ
`= \frac {M} {V}`

Where:

ρ: It's the density

M: It's the mass

V: It's the volume

The volume of a cylinder is given by:

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

Where:

A: It's the radio

h: It's the height

So:

`V = \pi * 4 ^ 2 * 10\\V = 502.654824574366 \ cm ^ 3`

In addition, they tell us that:

ρ
`= 0.6 \frac {g} {cm ^ 3}`

We must clear the formula, the mass:

M = V * ρ

`M = 502.654824574366 * 0.6\\M = 301.5929 \ g`

If we round, we have that the mass of the cylinder is given by:

301.59 grams

Answer:

301.59 grams