Respuesta :

DᴀʀᴋPᴀʀᴀᴅᴏx

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Given :

  • diameter = 14 ft, radius = d/2 = 14/2 = 7 ft

  • take pi = 3

Let's calculate volume of the sphere ~

[tex]\qquad \sf  \dashrightarrow \:v = \dfrac{4}{3} \pi {r}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v = \dfrac{4}{3} \sdot3 \sdot {7}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 4 \sdot343[/tex]

[tex]\qquad \sf  \dashrightarrow \:v = 1372 \: \: ft {}^{3} [/tex]

Given:

  • d= 14 ft

Note that:

  • d: diameter
  • r: radius

To find:

  • The volume of the sphere by using pi as 3.

Solution:

  • Sphere is a 3D shape with two dimensional circles.

First, we'll have to find the radius.

[tex]\large\boxed{\bold{r= \frac{d}{2}}}[/tex]

Let's solve!

To find the radius we'll have to divide the diameter by 2.

Substitute the values according to the formula.

[tex]r=\frac{14}{2}[/tex]

[tex]\bold{r= 7 \: ft}[/tex]

Now, we can find the volume of the given sphere.

[tex]\large\boxed{\bold{V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3}}[/tex]

Substitute the values according to the formula.

[tex]V= \frac{4}{3}\times3\times{7}^{3}[/tex]

[tex]\large\boxed{\bold{V= 1372 \: {ft}^{3}}}[/tex]

The answer is a whole number so we won't have to round off.

Hence, the volume of the given sphere is 1372 cubic feets.