Question

Find radius od 500 cm3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the radius of a sphere, given the volume, we can use the equation for the volume of a sphere:

V = (4/3) * π * r^3

Here, V is the volume of the sphere and r is the radius.

In this case, V = 500 cm^3. Let's substitute this value into the equation:

500 = (4/3) * π * r^3

To solve for r, we need to isolate it on one side of the equation.

Divide both sides of the equation by (4/3) * π:

500 / ((4/3) * π) = r^3

To simplify the left side of the equation, divide 500 by ((4/3) * π):

r^3 = 119.6833

Now, we need to find the cube root of 119.6833:

r ≈ ∛119.6833

Using a calculator, we find that r ≈ 4.3055 cm (rounded to the nearest hundredth).

Therefore, the approximate radius of the sphere is 4.3055 cm.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the radius of a sphere with a volume of 500 cm^3, we can use the formula for the volume of a sphere:

V = (4/3)πr^3

Here, V represents the volume and r represents the radius of the sphere. We can rearrange the formula to solve for the radius:

r = (∛(3V/4π))

For the given volume V = 500 cm^3, we can substitute this value into the formula to find the radius:

r = (∛(3 * 500 / 4π))

Now let's calculate the value of the radius: