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.
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The slant height is the radius of the paper = 5 in
The radius of the cone's base is {{{sqrt(5^2 - 4^2) = 3}}} inches
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The volume of the cone is
{{{Vol = pi*r^2*h/3 = pi*9*4/3 = 12pi}}}
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The surface area of the base is {{{pi*r^2 = 9pi}}}
The lateral surface area = pi*slant ht*r
= 15pi
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Add the appropriate units