Pre-Algebra Examples



\begin{array}{r} h = & 5 \\ r = & 4 \end{array}

$\begin{array}{r} h = & 5 \\ r = & 4 \end{array}$

Step 1

The volume of a cone is equal to

\frac{1}{3}

$\frac{1}{3}$ times the area of the base

π r^{2}

$π r^{2}$ times the height

h

$h$ .

\frac{1}{3} \cdot π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)

$\frac{1}{3} \cdot π \cdot {(r a d i u s)}^{2} \cdot (h e i g h t)$

Step 2

Substitute the values of the radius

r = 4

$r = 4$ and height

h = 5

$h = 5$ into the formula to find the volume of the cone. Pi

π

$π$ is approximately equal to

3.14

$3.14$ .

\frac{1}{3} \cdot π \cdot 4^{2} \cdot 5

$\frac{1}{3} \cdot π \cdot 4^{2} \cdot 5$

Step 3

Combine

\frac{1}{3}

$\frac{1}{3}$ and

π

$π$ .

\frac{π}{3} \cdot 4^{2} \cdot 5

$\frac{π}{3} \cdot 4^{2} \cdot 5$

Step 4

Raise

4

$4$ to the power of

2

$2$ .

\frac{π}{3} \cdot 16 \cdot 5

$\frac{π}{3} \cdot 16 \cdot 5$

Step 5

Combine

\frac{π}{3}

$\frac{π}{3}$ and

16

$16$ .

\frac{π \cdot 16}{3} \cdot 5

$\frac{π \cdot 16}{3} \cdot 5$

Step 6

Move

16

$16$ to the left of

π

$π$ .

\frac{16 \cdot π}{3} \cdot 5

$\frac{16 \cdot π}{3} \cdot 5$

Step 7

Multiply

\frac{16 π}{3} \cdot 5

$\frac{16 π}{3} \cdot 5$ .

Tap for more steps...

Step 7.1

Combine

\frac{16 π}{3}

$\frac{16 π}{3}$ and

5

$5$ .

\frac{16 π \cdot 5}{3}

$\frac{16 π \cdot 5}{3}$

Step 7.2

Multiply

5

$5$ by

16

$16$ .

\frac{80 π}{3}

$\frac{80 π}{3}$

\frac{80 π}{3}

$\frac{80 π}{3}$

Step 8

The result can be shown in multiple forms.

Exact Form:

\frac{80 π}{3}

$\frac{80 π}{3}$

Decimal Form:

83.77580409 \dots

$83.77580409 \dots$

Enter YOUR Problem