If the exercise ball has been filled with Nitrogen which has a density of 0.2 grams per cubic inches. Find the mass in grams.
Options
11,581.2 grams

12,370.6 grams

13,891.5 grams

15,156.3 grams

If the exercise ball has been filled with Nitrogen which has a density of 02 grams per cubic inches Find the mass in grams Options 115812 grams 123706 grams 138 class=

Respuesta :

Answer:

m = 11581.2 grams

Step-by-step explanation:

Given that,

The density of the ball, d = 0.2 g/in³

The radius of the ball, r = 24 inches

We need to find the mass of the ball in grams.

The density of an object is hiven by :

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\dfrac{4}{3}\pi r^3}\\\\m=\dfrac{4}{3}\pi r^3\times d[/tex]

Put all the values,

[tex]m=\dfrac{4}{3}\pi \times 24^3\times 0.2\\\\m=11581.16\ g[/tex]

or

m = 11581.2 grams

Hence, the mass of the ball is 11581.2 grams.