How do I find the volume of a sphere with a diameter of 40 cm?

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How do I find the volume of a sphere with a diameter of 40 cm?

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Answer 1 · 2014-08-20T20:40:30

The volume of a sphere is denoted below:

$V = \frac{4}{3} π r^{3}$ $V = 4/3pir^3$ where V is the volume and r is the radius of the sphere.

Since you were given diameter, we determine radius.

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

$r = \frac{40}{2}$ $r = 40/2$

$r = 20$ $r = 20$

Plugging in our radius to the sphere Volume formula, we get:

$V = \frac{4}{3} π {(20)}^{3}$ $V = 4/3pi(20)^3$

Simplifying, we get:
$V = \frac{4}{3} π (8000)$ $V = 4/3pi(8000)$

Expressing the volume in terms of $π$ $pi$ and decimal format, we get:
$V = 10666.6667 π c m^{3} or 33510.3217 c m^{3}$ $V = 10666.6667pi cm^3 or 33510.3217 cm^3$

Sphere Volume with Diameter of 40

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How do I find the volume of a sphere with a diameter of 40 cm?

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