To determine the mass of the solid cylinder, we can use the formula:
Mass = Volume × Density
First, we need to calculate the volume of the cylinder. The formula for the volume of a cylinder is:
Volume = π × r² × h
Where:
- π (pi) is approximately 3.14,
- r is the radius, and
- h is the height (or length) of the cylinder.
Given:
- Radius (r) = 2 cm
- Length (h) = 7 cm
Now, plugging in the values:
Volume = π × (2 cm)² × (7 cm) = 3.14 × 4 cm² × 7 cm
Volume ≈ 3.14 × 28 cm³ = 87.92 cm³
Now that we have the volume, we can calculate the mass:
Mass = Volume × Density
Mass = 87.92 cm³ × 31 g/cm³
Mass ≈ 2726.52 g
So, the mass of the solid cylinder is approximately 2726.52 grams.