Question

A student is trying to calculate the density of a ball. She already knows the mass, but she needs to determine the volume as well. Which of the following formulas can
be used to calculate the volume of the ball?
V = Iran
Ov=53
V = Tran

Answer 1

Answer and Explanation:

The density of a substance is defined as its mass per unit volume. In a mathematical language, this can be written as follows:

$\rho=\frac{m}{V} \\ \\ \\ Where: \\ \\ \rho: \ density \\ \\ m:mass \\ \\ V:Volume$

From the problem, a student is trying to calculate the density of a ball. She already knows the mass, but is facing a problem because she also needs to find the volume. From geometry, we know that the volume of a sphere is:

$V=\frac{4}{3} \pi r^{3}$

Since a ball is a sphere, then the student can use this formula. She just need to measure the radius of the ball and compute the Volumen, then she have to plug both the value of the mass and the value of the Volume in the equation $\rho=\frac{m}{V}$. An easy way to find the radius is to take the measure of the diameter of the ball and divide that value by 2.