# If a sphere has a volume of 3487 cubic yards whats the radius?

Radius of the Sphere

Volume of a Sphere (V) Formula:

Given:

Find the Radius (r) using the formula.

Substitute the values known:

Mathematical Constant

Switch sides:

Divide both sides by

Simplify:

Divide both sides by

Simplify:

Using calculator:

Using a calculator:

Hence,

Radius of the Sphere

Hope it helps.

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To find the radius of a sphere when given its volume, you can use the formula for the volume of a sphere:

[ V = \frac{4}{3} \pi r^3 ]

Given that the volume of the sphere is ( 3487 ) cubic yards, we can rearrange the formula to solve for the radius:

[ r^3 = \frac{3V}{4\pi} ]

[ r = \sqrt[3]{\frac{3V}{4\pi}} ]

Substitute the given volume ( V = 3487 ) cubic yards into the formula:

[ r = \sqrt[3]{\frac{3 \times 3487}{4\pi}} ]

Calculate:

[ r = \sqrt[3]{\frac{10461}{4\pi}} ]

[ r \approx \sqrt[3]{\frac{10461}{12.5664}} ]

[ r \approx \sqrt[3]{832.5} ]

[ r \approx 9.541 ]

So, the radius of the sphere is approximately ( 9.541 ) yards.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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