Problema Solution
Given that the volume of a cylinder is 142 cm3, and the radius of the cylinder is twice the height, find the surface Area of the cylinder.
Note: Your answer must be a number. No arithmetic operations are allowed.
Answer provided by our tutors
let
r = the radius of the cylinder
h = the height of the cylinder
V = 142 cm^3 the volume of the cylinder
the radius of the cylinder is twice the height
r = 2h
the volume is calculated by the formula V = r^2*pi*h
r^2 * pi * h = 142
4 h^3 * pi = 142
h = (142/(4 pi))^(1/3)
the area of the cylinder is A = 2r*pi*h + 2*r^2*pi
lets plug 2h = r into the last equation
A = r^2*pi + 2 r^2 * pi
A = 3*r^2*pi
A = 3*V/h
A = 3V/((142/(4 pi))^(1/3))
A = 3*142/((142/(4*3/14))^(1/3))
A = 77.56 cm^3
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