Find the density of a 4.2- kg solid cylinder that is 13 cm tall with a radius of 5.0 cm.

volume of cylinder: area base*height

density= mass/volume

A certain spring stretches 5.0cm when a load of 40N is suspended from it. How much will the spring stretch if 46N is suspended from it(and it doesn't reach its elastic limit)?

To find the density of the solid cylinder, we need to use the formula:

Density (ρ) = Mass (m) / Volume (V)

1. First, let's calculate the volume of the cylinder using the given values. The volume of a cylinder is calculated using the formula:

Volume (V) = π * r^2 * h

where:
- π is a constant (approximately 3.14159)
- r is the radius of the cylinder
- h is the height (or length) of the cylinder

In this case, the radius (r) is 5.0 cm, and the height (h) is 13 cm.

Substituting these values into the formula, we get:

V = π * (5.0 cm)^2 * 13 cm

2. Now, let's calculate the volume:

V = 3.14159 * (5.0 cm)^2 * 13 cm
V ≈ 1026.720 cm^3

3. Finally, let's calculate the density:

Density (ρ) = Mass (m) / Volume (V)

In this case, the mass (m) is given as 4.2 kg.

ρ = 4.2 kg / 1026.720 cm^3

Make sure the units of mass and volume are consistent; convert kg to g and cm^3 to m^3 if required.

Now, you have all the information required to calculate the density of the solid cylinder.