The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height. If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is .
Answers
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2h
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the cone
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinder
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides(1/3)1/2 r = R
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides(1/3)1/2 r = RR= about 0.577r
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides(1/3)1/2 r = RR= about 0.577ror
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides(1/3)1/2 r = RR= about 0.577rorr=R/(1/3)1/2=1.732R = 31/2R = R times square root of 3
volume of a cone = (1/3)pir2h = volume of a cylinder =pir2hr=radius of the coneR=radius of the cylinderpi and h cancel leaving(1/3)r2 = R2take the square root of both sides(1/3)1/2 r = RR= about 0.577rorr=R/(1/3)1/2=1.732R = 31/2R = R times square root of 3radius of the cone = square root of 3 times the radius of the cylinder.
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