Question

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

Answer 1

m = 11581.2 grams

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 :

`d=(m)/(V)\\\\d=(m)/((4)/(3)\pi r^3)\\\\m=(4)/(3)\pi r^3* d`

Put all the values,

`m=(4)/(3)\pi * 24^3* 0.2\\\\m=11581.16\ g`

or

m = 11581.2 grams

Hence, the mass of the ball is 11581.2 grams.