Question

Find the length of the diameter of a sphere with a volume of 767.15 ft3.
11.4 ft
5.7 ft
14.4 ft
7.5 ft

Answer 1

The volume of a sphere is V = (4/3)(pi)(r^2) where r = radius, and V = volume. Plug in into the equation and find r, the riadius. The diameter is twice the radius.

Answer 2

You mean r^3.

Answer 3

Sorry, yes, r^3. Sorry, my error in typing.

Answer 4

V = (4/3) (pi)(r^3)

Answer 5

What @Easyaspi314 is true. This the first step. You can also find the value r,
\[r=\sqrt[3]{\frac{3V}{4\pi}}\]And then, find the diameter,
\[D=2r\]

Answer 6

So 11.4 is the correct answer.

Answer 7

767.15 =(4/3)* pi*r^3
r = 5.67
2r = 11.4 approx @John_ES is correct