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A right triangle is drawn inside a sphere, and the hypotenuse is 16 cm. Explain how to find the volume of the sphere and show your calculations. Round the radius to the nearest hundredth and use that rounded radius to calculate the volume. Round the volume to the nearest hundredth.​

Answer 1

Answer: The volume of a sphere can be calculated using the formula V = 4/3 * pi * r^3, where V is the volume and r is the radius of the sphere. In this case, we can use the Pythagorean theorem to find the radius of the sphere. The hypotenuse of the right triangle is 16 cm and is also the diameter of the sphere, therefore the radius of the sphere is half of the hypotenuse or 8 cm.

Now we can use this value of radius to calculate the volume of the sphere.

V = 4/3 * pi * 8^3

V = 4/3 * pi * 512

V = 2197.333 cm^3 (rounded to the nearest hundredth)

So, the volume of the sphere is 2197.333 cm^3

Explanation: