Volume of an Inscribed Sphere in a Cylinder

Hard Geometry Solid Geometry

Consider a right circular cylinder with a radius of 3 cm and a height of 10 cm. A sphere is inscribed within this cylinder. What is the volume of the sphere?

Use the formula for the volume of a sphere given by:

$$ V = \f\frac{4}{3} \pi r^3 $$

where $$ r $$ is the radius of the sphere.

$$ 27 \pi \text{ cm}^3 $$

$$ 36 \pi \text{ cm}^3 $$

$$ 9 \pi \text{ cm}^3 $$

$$ 12 \pi \text{ cm}^3 $$

Hint

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