Find the Volume sphere (42)



$\begin{array}{r} r = & 42 \end{array}$

Step 1

The volume of a sphere is equal to

$\frac{4}{3}$ times Pi

$π$ times the radius cubed.

$\frac{4}{3} \cdot π \cdot {(r a d i u s)}^{3}$

Step 2

Substitute the value of the radius

$r = 42$ into the formula to find the volume of the sphere. Pi

$π$ is approximately equal to

$3.14$ .

$\frac{4}{3} \cdot π \cdot 42^{3}$

Step 3

Combine

$\frac{4}{3}$ and

$π$ .

$\frac{4 π}{3} \cdot 42^{3}$

Step 4

Raise

$42$ to the power of

$3$ .

$\frac{4 π}{3} \cdot 74088$

Step 5

Cancel the common factor of

$3$ .

Factor

$3$ out of

$74088$ .

$\frac{4 π}{3} \cdot (3 (24696))$

Cancel the common factor.

$\frac{4 π}{3} \cdot (3 \cdot 24696)$

Rewrite the expression.

$4 π \cdot 24696$

Step 6

Multiply

$24696$ by

$4$ .

$98784 π$

Step 7

The result can be shown in multiple forms.

Exact Form:

$98784 π$

Decimal Form:

$310339.08869221 \dots$