Calculations of volumes, areas and circumference
Area
Circle
,
Sphere
,
Cone
,
Triangle
.
Parallelogram
,
Box
,
Trapezoid
.
Volume
Sphere
,
Cylinder
,
Cone
,
Box
,
Tank with sloping sides
Other
Circumference of circle
Area of a circle
3.1415 x r
2
Where r = radius of the circle
Circumference of a circle
3.1415 x d
Where d = diameter of the circle
Volume of a sphere
4
/
3
x 3.1415 x r
3
Where r = radius of the circle
Area of a sphere
4 x 3.1415 x r
2
Where r = radius of the circle
Volume of a cylinder / pipe
3.1415 x r
2
x h
Where r = radius of the circle
h = height of cylinder / pipe
Volume of a cone
1
/
3
x 3.1415 x r
2
x h
Where r = radius of the circle
h = height of cone
Area of a cone
3.1415 x (r x s) + (3.1415 x r
2
)
Where r = radius of the circle
s = length of side of cone
Area of a triangle
( w x h ) / 2
Where w = width
h = height
Area of a parallelogram
h x l
Where h = height
l = length
Volume of a box
w x l x h
Where w = width
h = height
l = length
Area of a box
2 x [(w x l ) + ( l x h) + (h x w)]
Where w = width
h = height
l = length
Area of a trapezoid
h x ((L1 + L2)/2)
Where h = height
L1 and L2 = top and bottom lengths
Volume of a tank
[(A1 + A2)/2] x h
Where h = height
A1 and A2 = area of top and bottom of tank