Question

A sphere has a volume of 1,436 in3. What is its radius?​

Answer 1

To find the radius of a sphere with a given volume, you can use the formula for the volume of a sphere and solve for the radius. In this case, the radius of the sphere is approximately 6.02 inches.

Step-by-step explanation:

To find the radius of a sphere with a given volume, we can use the formula for the volume of a sphere, which is V = (4/3)πR³. We can rearrange the formula to solve for the radius R.

In this case, we are given the volume V = 1436 cubic inches. Plugging this value into the formula and solving for R, we have:

1436 = (4/3)πR³

R³ = 1436 ÷ ((4/3)π)

R³ = 359 ÷ π

R = ∛(359 ÷ π) inches

Using a calculator, we can find that R ≈ 6.02 inches (rounded to two decimal places).

Answer 2

7

Step-by-step explanation:

So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:

V=4 /3πr3

so now we plug in the variables

1,436=4/3πr3

divide by pi

457.09=4/3r3

divide by 4/3 (multiply by the reciprocal which is 3/4)

342.82=r3

Take the third root to get r by itself

r=6.998 or 7 if you will.