Basic Math Examples



\begin{matrix} h = & 4 r = & 10 \end{matrix}

$\begin{array}{r} h = & 4 \\ r = & 10 \end{array}$

Step 1

The volume of a cylinder is equal to the area of the base

π r^{2}

$π r^{2}$ times the height.

π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)

$π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)$

Step 2

Substitute the values of the radius

r = 10

$r = 10$ and height

h = 4

$h = 4$ into the formula to find the volume of the cylinder. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

π \cdot 10^{2} \cdot 4

$π \cdot 10^{2} \cdot 4$

Step 3

Raise

10

$10$ to the power of

2

$2$ .

π \cdot 100 \cdot 4

$π \cdot 100 \cdot 4$

Step 4

Move

100

$100$ to the left of

π

$π$ .

100 \cdot π \cdot 4

$100 \cdot π \cdot 4$

Step 5

Multiply

4

$4$ by

100

$100$ .

400 π

$400 π$

Step 6

The result can be shown in multiple forms.

Exact Form:

400 π

$400 π$

Decimal Form:

1256.63706143 \dots

$1256.63706143 \dots$

 $\begin{array}{r} h = & 4 \\ r = & 10 \end{array}$

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