Question

A steel cylinder has a base with a radius of 10 cm and height of 8 cm.

If the density of the cylinder is 0.008 kg/ cm3 , find the mass of the cylinder in kilograms.

Use π=3.14 and round your final answer to the nearest tenth.

(1 point)
Volume =
cm3 ​​​​​​

Mass =
kg

Answer 1

To find the mass of the steel cylinder, we first need to calculate its volume and then use the density to find the mass.

1. **Calculate the volume of the cylinder** using the formula:

\[
\text{Volume} = \pi r^2 h
\]

where:
- \( r \) is the radius,
- \( h \) is the height.

Given:
- \( r = 10 \) cm,
- \( h = 8 \) cm,
- \( \pi \approx 3.14 \).

Substitute these values into the formula:

\[
\text{Volume} = 3.14 \times (10 \, \text{cm})^2 \times 8 \, \text{cm}
\]
\[
= 3.14 \times 100 \, \text{cm}^2 \times 8 \, \text{cm}
\]
\[
= 3.14 \times 800 \, \text{cm}^3
\]
\[
= 2512 \, \text{cm}^3
\]

2. **Calculate the mass** of the cylinder using the formula:

\[
\text{Mass} = \text{Density} \times \text{Volume}
\]

Given the density of the cylinder is \( 0.008 \, \text{kg/cm}^3 \):

\[
\text{Mass} = 0.008 \, \text{kg/cm}^3 \times 2512 \, \text{cm}^3
\]
\[
= 20.096 \, \text{kg}
\]

3. **Round the mass to the nearest tenth**:

The mass is approximately \( 20.1 \, \text{kg} \).

Thus, the answers are:

- Volume = **2512 cm³**
- Mass = **20.1 kg**