Question

Determine the density of a sphere if its radius r=(2.540+0.005)cm and mass m=(27.5+0.5)g. π=3.14

Answer 1

Density is = mass / volume

Since we have the mass, we can get the volume.

Volume of a sphere = 4/3 × π × r³

r = 2.545cm

Substituting the values in the formula :

4 / 3 × 3.14 × 2.545³ = 69.013 cm³

Mass = 27.5 + 0.5 = 28g

Density = mass / volume

28 / 69.013 = 0.4057 g / cm³

Answer 2

Answer:

Volume of the sphere is 0.41 cm³ per g .

Step-by-step explanation:

Formula

$Density = \frac{Mass}{Volume}$

As given

The density of a sphere if its radius r=(2.540+0.005)cm and mass m=(27.5+0.5)g .

Thus

r = 2.545 cm

Formula

$Volume\ of\ sphere = \frac{4}{3}\pi r^{3}$

Where r is the radius of the sphere .

$\pi = 3.14$

$Volume\ of\ sphere = \frac{4}{3}\times 3.14\times 2.545\times 2.545\times 2.545$

$Volume\ of\ sphere = \frac{207.0394}{3}$

Volume of sphere = 69 cm³ (Approx)

m = 28 g

Putting all the values in the formula

$Density = \frac{28}{69}$

                    = 0.41 cm³ per g (Approx)

Therefore the volume of the sphere is 0.41 cm³ per g .