The volume of a sphere is approximately 1767.1459 cubic inches. What is the length of the radius of the sphere the nearest tenth?

7.5 in

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes, a sphere.

We know that the volume of a sphere is expresses as

V = (4/3) πr³

Given that the volume of the sphere is

1767.1459 in³

To solve for the radius r we need to substitute the value of the volume in the expression for the volume we have

Step two

1767.1459 = (4/3) πr³

1767.1459*3 = 4πr³

5301.4377/4*3.142=r³

421.82031=r³

Step three

To get r we need to cube both sides we have

r = ³√421.82031

r = 7.49967589711

To the nearest tenth

r = 7.5 in