SOLUTION: A circular piece of paper has a 5 cm radius. It is cut once through to the center and curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of
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Question 258341: A circular piece of paper has a 5 cm radius. It is cut once through to the center and curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of the cone.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the length of the side of this cone will be 5 cm.
the length of the altitude of this cone will be 4 cm.
this should form a 3/4/5 right triangle.
this makes the radius of the base of the cone equal to 3 cm.
volume of the cone is equal to 1/3 * pi * r^2 * h.
this becomes 1/3 * pi * 9 * 4 = 1/3 * pi * 36 = 12 * pi cubic cm.
surface area of the cone is equal to pi * r * (r + s).
this becomes pi * 3 * (3 + 5) = pi * 3 * 8 = 24 * pi square cm.
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