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3 years ago

The volume of a sphere whose diameter is 18 centimeters is how many cubic centiemters

Mathematics

1 answer:

Arturiano [62]3 years ago

3 0

Answer:

3053.63 cm^3

Step-by-step explanation:

Volumme of a sphere = $\frac{4}{3}\pi*r^3.$

We do not have the radius of the sphere, but we have its diameter.

We know that there is a relationship between radius and diameter.

$d = 2r\\r = \frac{d}{2}$

Then the formula of the volume of a sphere according to its diameter is:

$\frac{4}{3}\pi (\frac{d}{2}) ^ 3\\\\\frac{4}{3}\pi(9)^3 = 972\pi = 3053.63 cm^3\\\\$

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