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36 votes
36 votes
Find the volume of this sphere.

Use 3 for TT.
V ≈ [?]ft³ 3
14 ft
V = πr³
Tr3

Find the volume of this sphere. Use 3 for TT. V ≈ [?]ft³ 3 14 ft V = πr³ Tr3-example-1
User Madbreaks
by
3.3k points

2 Answers

12 votes
12 votes

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.


\large\boxed{\bold{r= (d)/(2)}}

Let's solve!

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

Substitute the values according to the formula.


r=(14)/(2)


\bold{r= 7 \: ft}

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


\large\boxed{\bold{V= (4)/(3)\pi{r}^(3)}}


\large\boxed{\bold{\red\pi\red=\red3}}

Substitute the values according to the formula.


V= (4)/(3)*3*{7}^(3)


\large\boxed{\bold{V= 1372 \: {ft}^(3)}}

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.

User Angelly
by
3.6k points
15 votes
15 votes


\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

Given :

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

  • take pi = 3

Let's calculate volume of the sphere ~


\qquad \sf  \dashrightarrow \:v = (4)/(3) \pi {r}^(3)


\qquad \sf  \dashrightarrow \:v = (4)/(3) \sdot3 \sdot {7}^(3)


\qquad \sf  \dashrightarrow \:v = 4 \sdot343


\qquad \sf  \dashrightarrow \:v = 1372 \: \: ft {}^(3)

User Kevin Hoerr
by
3.3k points
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