A sphere has a diameter of 24 units. What is its volume in cubic units?

Mathematics

2 answers:

Aleks [24]3 years ago

7 0

Answer:

Volume of the sphere is $2304\pi\ cubic\ unit$ .

Option (C) is correct .

Step-by-step explanation:

Formula

$Volume\ of\ a\ sphere = \frac{4}{3}\pi r^{3}$

Where r is the radius of the sphere .

As given

A sphere has a diameter of 24 units.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{24}{2}$

= 12 units

Putting the value of radius in the formula

$Volume\ of\ a\ sphere = \frac{4\times 12\times 12\times 12}{3}\pi$

$Volume\ of\ a\ sphere = \frac{6912}{3}\pi$

$Volume\ of\ a\ sphere = 2304\pi$

Therefore the volume of the sphere is $2304\pi\ cubic\ unit$ .

Option (C) is correct .

jasenka [17]3 years ago

6 0

V=(4pr^3)/3
..................

r=d/2=12

So all you have to do is use 12 for r in the volume equation.

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Aneli [31]

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