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 = 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 = d/2#

#r = 40/2#

#r = 20#

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

#V = 4/3pi(20)^3#

Simplifying, we get:
#V = 4/3pi(8000)#

Expressing the volume in terms of #pi# and decimal format, we get:
#V = 10666.6667pi cm^3 or 33510.3217 cm^3#