Asphere has a diameter of 10 in. what is the volume of the sphere?


The volume of sphere is \frac{500}{3}\pi inches cubed.

Step-by-step explanation:


Diameter of sphere = 10 inches

Radius of sphere = \frac{Diameter}{2}=\frac{10}{2}

Radius of sphere = 5 inches

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

V = \frac{4}{3}\pi (5)^3

V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi

The volume of sphere is \frac{500}{3}\pi inches cubed.

Keywords: volume, division

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The volume of sphere is 500 in³

Step-by-step explanation:


Diameter of sphere is 10 in.

Now, to find the volume we need radius.

Radius(r) = half of the diameter



And, now putting the formula to get the volume of sphere:

volume(v)=\frac{4}{3}\pi r^{3}

Putting the value of π = 3.

v=\frac{4}{3} \times 3.14\times 5^{3}

v=1.33\times 3.14\times 125


So, the volume is 522.025 in³.

By estimating the value the volume is 500 in³.

Therefore, the volume of sphere is 500 in³.

The answer is the third option.

Step-by-step explanation:

The volume formula for a sphere is V=4/3 *pi *r cubed, so  if you plug those into the equation, you get 4/3 *pi *5 cubed. 4/3*5 cubed is 500/3. You have to add back the pi, therefore the answer is V=500/3 pi, which is option 3.

The answer is 110.25

Step-by-step explanation:

The pictures gives proof.

Asphere has a diameter of 10.5 inches  what is the surface area of the sphere  55.125  110.25 220.5

Step-by-step explanation:


Solve for volume





\frac{500}{3}π in^{3}

Step-by-step explanation: diameter=10 in

radius=\frac{diameter}{2}=\frac{10}{2}=5 in


=\frac{4}{3}    X 5^{3}  x π =\frac{500}{3}π in^{3}

523.33\text{ in.}^3

Step-by-step explanation:

The volume of sphere is given by :-

V=\dfrac{4}{3}\pi r^3, where r is the radius of the sphere.

We are given that, the diameter of the sphere = 10  in.

The the radius of the sphere = \dfrac{10}{2}=5\ in.

Now, the volume of sphere will be :-

V=\dfrac{4}{3}\pi (5)^3\\\\\Rightarrow\ V=\dfrac{4}{3}(3.14) (125)\\\\\Rightarrow\ V= 523.33333\approx523.33\text{ in.}^3

Hence, the volume of sphere=523.33\text{ in.}^3

346.36in² this is the actual surface are of the sphere in inches if that what your looking for. But if u looking for inches then look for what closer to this number.

If i confused you sorry..if not then hope this helped.

 523.33\ in.^3

Step-by-step explanation:

We know that the volume of a sphere is given by :-

\text{Volume}=\dfrac{4}{3}\pi r^3, where r is the radius of the sphere.

Given : The diameter of the sphere = 10 in.

Then, the radius of the sphere=\dfrac{10}{2}=5\ in.

Now, the volume of the sphere will be :-

\text{Volume}=\dfrac{4}{3}(3.14) (5)^3\\\\\Rightarrow\ \text{Volume}=523.333333\approx523.33\ in.^3

Step-by-step explanation:

it is 5in

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