Asked by Caden
If the surface area of a cylinder is equal to the value of the volume of the cylinder. Find the value of x. X is the height which is unknown. The radius is 6ft
Answers
Answered by
bobpursley
S=V
pi*r^2 + pi*r^2 + 2Pi*r*h=4/3 PI r^3
2r^2+2rh = 4/3 r^3
h= (4/3 r^2-2r)/2h check that. r=6, find h.
pi*r^2 + pi*r^2 + 2Pi*r*h=4/3 PI r^3
2r^2+2rh = 4/3 r^3
h= (4/3 r^2-2r)/2h check that. r=6, find h.
Answered by
Reiny
surface area = 2 circles + 1 rectangle
= 2π(36) + 2π(6)x
= 72π + 12πx
volume = π(36)x
36πx = 12πx + 72π
24x = 72
x = 3 <--- the height
= 2π(36) + 2π(6)x
= 72π + 12πx
volume = π(36)x
36πx = 12πx + 72π
24x = 72
x = 3 <--- the height
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