Problema Solution
A cylinder has a surface area of 240cm cubed.if the radius of the cylinder equals the height,how wide is the cylinder.
Answer provided by our tutors
let 'r' represent the radius of the cylinder and let 'h' represent the height
the formula for the surface area, 'A', of the cylinder is:
A = 2*PI*r^2 + 2*PI*r*h
since r=h, we have:
A = 2(2*PI*r^2) = 4*PI*r^2
we know that A=240, so we solve for 'r':
240 = 4*PI*r^2
r = 4.37
2*4.37 = 8.74
the width of the cylinder would be twice the radius, hence the width of the cylinder is approximately 8.74cm