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

Answers

maysahdabest

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

Step-by-step explanation:

Given,

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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pattydixon6

The volume of sphere is 500 in³

Step-by-step explanation:

Given:

Diameter of sphere is 10 in.

Now, to find the volume we need radius.

Radius(r) = half of the diameter

$r=\frac{10}{2}$

r=5

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.

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

$v=1.33\times 3.14\times 125$

v=522.025

So, the volume is 522.025 in³.

By estimating the value the volume is 500 in³.

Therefore, the volume of sphere is 500 in³.

lamondrairving

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.

cgarcia04

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

indexes06

Step-by-step explanation:

Sphere

Solve for volume

V≈523.6in³

dDiameter

asialovepink2321

$\frac{500}{3}$ π $in^{3}$

Step-by-step explanation: diameter=10 in

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

volume= $\frac{4}{3}$ $r^{3}$

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

haileysolis5

$523.33\text{ in.}^3$

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= $523.33\text{ in.}^3$

drastipatel18

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.

khalilattalah

$523.33\ in.^3$

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 :-

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

jasminelara740

Step-by-step explanation:

it is 5in

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