To determine the amount of metal needed to make a cone with a diameter of 20.625 inches and a height of 53.50 inches, you first need to calculate the volume of the cone using the formula ( V = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius and ( h ) is the height. The radius is half of the diameter, so ( r = 10.3125 ) inches. Plugging in the values, the volume is approximately 1,149.83 cubic inches. To find the amount of metal needed, convert the volume to weight based on the metal's density, which varies depending on the type of metal used.
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