Mensuration >> Cylinder

Surface area of cylinder and hemispherical top - Cylinder - Mensuration problem solver

Find out the surface area of a cylinder with a height of 15 cm topped with a hemisphere with the radius of 4 cm. (hint : find curved surface area and area of cylinder first)

surface area of cylinder and hemispherical top

height = 15
radius = 4
CSA =  2 * PI * r * h
curved surface area = 2 * PI * 4 * 15
curved surface area = 377.1429
So the curved surface area is 377.1429
A =  PI * r * r
area = PI * 4 * 4
area = 50.2857
So the area is 50.2857


radius = 4
Curved Surface Area of HemiSphere formula = 2 * Pi * r^2 sq.units
curved surface area = 100.57142857143
Curved Surface Area of HemiSphere = 100.57142857143 sq.units
Curved Surface area of HemiSphere 2 * Pi * r^2 = 100.57142857143 sq.units
Total surface area of the Shape = Surface area of cylinder + Area of cylinder bottom + Surface area of hemisphere
Total surface area of the Shape = + 50.2857 + 100.57142857143
Total surface area of the Shape = 150.85712857143

Cylinder :

A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface.

Cylinder Formulas :

A =  PI * r * r

C =  2 * PI * r

d =  r * 2

r =  d / 2

V =  PI * r * r * h

TSA =  2 * PI * r * ( r + h )

BSA =  PI * r * r * h

density =  m / V

CSA =  2 * PI * r * h

h =  CSA / C


where,

d = diameter
A = area
C = circumference
r = radius
V = volume
CSA = curved surface area
TSA = total surface area
BSA = base surface area
density = density
m = mass
h = height
u = unit

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