How to find the volume of cylinders

cylinder volume formula

v = (π * r²) * h

Step-by-step explanation:

To calculate the volume of a cylinder we have to multiply the height by the area of the circle that is the base

The area of a circle is calculated with this formula (a = π * r²)

Let's do an example where the radius is 5.5ft  and the height is 13ft  to see how to calculate the volume

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 13ft

π = 3.14

r = radius = 5.5ft

v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (5.5ft)²) * 13ft

v = (3.14 * 30.25ft²) * 13ft

v = 94.985ft² * 13ft

v = 1234.805ft³

The volume of the cylinder is 1234.805ft³

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be