A lead sphere has a radius of 4.30 cm. Calculate its volume in cm^3, using the f

Question

A lead sphere has a radius of 4.30 cm. Calculate its volume in cm^3, using the formula given in the lab, and a value of pi = 3.14. Find (F_s)_air (weight) of this sphere in grams if rho = 11.30 g/cm^3 for lead. If this sphere is completely submerged in liquid gallium (rho = 6.11 g/cm^3), how many grams of liquid gallium will it displace? Based on your answers to #2 & 3 above, what support force (F_s)_w (apparent weight) would the balance have provided for this sphere when it was immersed in liquid gallium? Given that the density of seawater is 1.025 g/cm^3, suppose we have a container full to the brim with seawater. If a cube of unknown material is slowly and carefully lowered into this container and released, it floats with 3/4 of its volume submerged. Using Archimedes' Principle, find the density of the cube, in g/cm^3.

Explanation / Answer

here,

1)

radius , r = 4.3 cm

the volume of sphere , V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 4.3^3 cm^3

V = 332.9 cm^3

the volume of sphere is 332.9 cm^3

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