Question

If a ball of unknown material with a volume if 2.34cm^3 and a mass if 1.7 g was used, what radius and density would it possess

Answer 1

Answer:

Radius = 0.8235 cm

Density = 0.7265 g/mL

Explanation:

Given that the volume = 2.34 cm³

The volume of the sphere = $\frac {4}{3}\times \pi\times r^3$

Thus,

$\frac {4}{3}\times \pi\times r^3=2.34\ cm^3$

$\frac {4}{3}\times \frac {22}{7}\times r^3=2.34\ cm^3$

$r^3=0.5584\ cm^3$

r = 0.8235 cm

Volume = 2.34 cm³ = 2.34 mL (1 cm³ = 1 mL)

Mass = 1.7 g

Density = Mass/ Volume = 1.7 g / 2.34 mL = 0.7265 g/mL