The ratio of the radius of the base of a cylinder to its height is 7 : 6. If the volume of the cylinder is 294 cm3, then its base diameter is
Answers
Answered by
2
Since the ratio of radius and height of the cylinder is 7:6, we get
r : h = 7 : 6
Or, 7h = 6r or r = 7h/6.
The volume of a cylinder is pi*r^2* h = 294 cm^3.
Substituting the value of r = 7h/6, we get
294 = (Pi * 49 h^3) / 36
Or h^3 = (294 * 36) / (49* Pi)
or h^3 = 216 / Pi
therefore h = 6 / curoot (Pi) = 4.10.
Thus, the height of the cylinder is 4.10 and radius = 7*4.10/6 = 4.78.
H = 4.1 cm
R = 4.78cm
r : h = 7 : 6
Or, 7h = 6r or r = 7h/6.
The volume of a cylinder is pi*r^2* h = 294 cm^3.
Substituting the value of r = 7h/6, we get
294 = (Pi * 49 h^3) / 36
Or h^3 = (294 * 36) / (49* Pi)
or h^3 = 216 / Pi
therefore h = 6 / curoot (Pi) = 4.10.
Thus, the height of the cylinder is 4.10 and radius = 7*4.10/6 = 4.78.
H = 4.1 cm
R = 4.78cm
Similar questions