Question

A sphere has 400 mm diameter, what is its volume in m^3

Answer 1

Step-by-step explanation:

Hello!

The sphere has a diameter of 400mm which is equivalent to 40 cm.

The volume of a sphere equals to V = 4/3 π r^3

That is Pi multiplied by the radius of the sphere to the power of three, all multiplied by 4 and divided by 3.

The sphere has a diameter to 40 cm, and to get its radius we need to divide diameter by 2.

radius = 20 cm

Volume = 4/3 π 20cm^3

Volume = 4/3 * 3.14 * 20cm^3

Volume = 4/3 * 62.8 cm^3

Volume = 251.2 / 3 cm^3

Volume = 83.7(3) cm^3

let's make the number into a fraction, and then convert it into meters cubed:

83.7(3) =
`(8373-837)/(90)` cm^3

Volume =
`(7536)/(90)` cm^3

Now, because the measurement is cubed, we gotta divide centimeter by 100 cubed, to get meters cubed.

that will be our Volume divided by 1.000.000 (million).

`(7536)/(90*1.000.000)` meters^3

Volume =
`(7536)/(90,000,000)` meters^3

Hope I helped!

Answer 2

V≈0.034m³

Step-by-step explanation:

Review:

Every point on the surface of a sphere's three-dimensional, perfectly round shape is equally spaced from the object's center. Spheres are a frequent type of item, including balls and globes. You only need to know a sphere's radius and enter it into a straightforward formula (V = 4⁄3πr³) to get its volume.

The volume of a sphere is calculated as 4/3 times pi times the cube of the radius. A number is cubed when it has been multiplied three times, in this example, three times the radius.

V = 4⁄3πr³

The ratio of a circle's circumference to its diameter is 4/3; this formula is used to calculate the volume of a sphere.

Given:

400 mm diameter

To find:

Volume in m^3

Steps:

Unit Conversion:

`d=0.4m`

Using the formulas

`V=(4)/(3) \pi r^3\\d=2r`

Solving for
`V`

`V=(1)/(6) \pi d^3=(1)/(6) *\pi *0.4^3` ≈
`0.03351m^3`