A cube of ice has an edge of 21 cm. what is the volume of the largest cylinder that can be carved from the cube (in cm2
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length of the edge of ice cube=21cm(s)
therefore, the maximum diameter of the carved out cylinder = s = 21cm(d)
the radius of the cylinder = d/2 = 21/2 = 10.5cm(r)
the maximum height of the carved out cylinder = s = 21cm(h)
now,
required volume = πr²h=22/7 x 10.5 x 10.5 x 21= 14553/2 = 7276.5 cm²
Thus,the required volume of the cylinder is 7276.5 cm².
therefore, the maximum diameter of the carved out cylinder = s = 21cm(d)
the radius of the cylinder = d/2 = 21/2 = 10.5cm(r)
the maximum height of the carved out cylinder = s = 21cm(h)
now,
required volume = πr²h=22/7 x 10.5 x 10.5 x 21= 14553/2 = 7276.5 cm²
Thus,the required volume of the cylinder is 7276.5 cm².
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