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Height of cylinder based on another cylinder - Cylinder - Mensuration problem solver

Two cylinders have the same volume. The first cylinder had a diameter of 10 cm and a height of 30,The second cylinder has a diameter of 8 cm.What is the height of the second cylinder,to the nearest tenth a centimeter ?

height of cylinder based on another cylinder

diameter = 10
height = 30
diameter of = 8
r =  d / 2
radius = 10 / 2
radius = 5
So the radius is 5
V =  PI * r * r * h
volume = PI * 5 * 5 * 30
volume = 2357.1429
So the volume is 2357.1429

diameter = 8
volume = 2357.1429
r =  d / 2
radius = 8 / 2
radius = 4
radius = 4
C =  2 * PI * r
circumference = 2 * PI * 4
circumference = 25.1429
So the circumference is 25.1429
h =  V / ( PI * r * r )
height = 2357.1429 / ( PI * 4 * 4 )
height = 46.875
height = 46.875
CSA =  2 * PI * r * h
curved surface area = 2 * PI * 4 * 46.875
curved surface area = 1178.5714
So the curved surface area is 1178.5714
curved surface area = 1178.5714

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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