Question

A typical prostate gland has a mass of about 20 g and is about the size of a walnut. The gland can be modeled as a sphere 4.50 cm in diameter and of uniform density. What is the density of the prostate? Express your answer in g/cm^3 and in standard SI units. How does the density compare to that of water? The density of the prostate is % of the density of water. During a biopsy of the prostate, a thin needle is used to remove a series of cylindrical tissue samples. If the cylinders have a total length of 28.0 mm and a diameter of 0.100 mm, what is the total mass (in g) of tissue taken? What percentage of the mass of the prostate is removed during the biopsy?

Answer 1

Solution Given that m-20g D- 4.5 cmr 2.25 cm Density 20 3x 20 4xTx2.253 ρ-0.42 Eg / cm" ρ-420 kg/m

We know that Density of water is -1000kg/m' Relative density is 420 1000 Then the densitv of prostate is 0.42 100-0.42x 100 42% Of the density ofwater Given that l-28 mm 2.8 cm d 0.1mmr0.0.005 cm Volume of the cylinder is -T (0.005)' (2.8) V - 2.199x10 cm3 Mass of the removed tissue -0.42x2.199x104 m 9.24x10-3g The percentage of mass removed is M-x100 20 9.24x10 100 20 462x10-596