SOLUTION: A circular piece of paper has a 5 cm radius. It is cut once through to the centerand curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area o

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Question 450737: A circular piece of paper has a 5 cm radius. It is cut once through to the centerand 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 Alan3354(69443) About Me  (Show Source):
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A circular piece of paper has a 5 cm radius. It is cut once through to the centerand curled up to form a model of a cone with a height of 4 cm. Find the volume and surface area of the cone.
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The slant height is the radius of the paper = 5 in
The radius of the cone's base is sqrt%285%5E2+-+4%5E2%29+=+3 inches
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The volume of the cone is
Vol+=+pi%2Ar%5E2%2Ah%2F3+=+pi%2A9%2A4%2F3+=+12pi
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The surface area of the base is pi%2Ar%5E2+=+9pi
The lateral surface area = pi*slant ht*r
= 15pi
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Add the appropriate units