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A sphere has a volume of 4500 cubic inches. What is the radius off the shpere

User Nathanbweb
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1 Answer

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Final answer:

To find the radius of a sphere with a volume of 4500 cubic inches, we can rearrange the volume formula V = (4/3)πr³ to solve for r. After substituting the given volume and simplifying, the radius is approximately 10.61 inches.

Step-by-step explanation:

To find the radius of a sphere given its volume, we use the formula for the volume of a sphere, which is V = (4/3)πr³. We can rearrange this formula to solve for the radius, r, which involves using cube root and division.

First, we isolate r³ by multiplying both sides of the equation by 3/4 and then dividing by π:

r³ = (3V)/(4π)

Next, we take the cube root of both sides to solve for r:

r = ∛((3V)/(4π))

Given the volume of the sphere is 4500 cubic inches, we substitute that into the equation:

r = ∛((3 * 4500)/(4π))

Now, we can calculate the radius:

r ≈ ∛(3375/π)

r ≈ 10.61 inches

Therefore, the radius of the sphere is approximately 10.61 inches.

User Chros
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