an object will sink in a liquid if the density of the object is greater than that of the liquid. the mass of a sphere is 61.3g. if the volume of this sphere is less than

Question:

An object will sink in a liquid if the density of the object is greater than that of the liquid. The mass of a sphere is 61.3g.

If the volume of this sphere is less than ________ cm3, then the sphere will sink in liquid mercury (density = 13.6 g/cm3).

Explanation:

Given

Liquid: Mercury

-- of liquid

Required

Determine the volume at which the liquid will sink

First, we need to calculate the volume of the sphere for which it will have the same density as the mercury.

This is calculated as follows

Make Volume the subject

Substitute values for Mass and Density

This implies that:

If the volume of the sphere is less than 4.51, the density will be greater than the density of the mercury and so the object will sink

Take for instance:

So, fill in the gap with

measure their densities same density, same sub

it is given that trillions of microbes make up to 1% to 3% of the body mass.

let's take average of this percentage: 2%

consider the average mass of the human body as 70 kg.

then, trillions of microbes would have mass  

therefore, 100 trillion micro-organisms would weigh:

this is an approximate value and could change depending on the mass of the human body and percentage of the microbes present in it.

average mass per microorganism =