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To the nearest square inch, what is the surface area of the cone?

The image consists of an inverted three-dimensional cone. The diameter of its circular base is 3 inches. The diagonal length from the base to the tip is 4 inches.

User Iran
by
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1 Answer

3 votes

Answer:
(363)/(14) square inches

Explanation:

Surface area of cone =
\pi r( l +r), where r= radius of the base of cone, l= diagonal length from the base to the tip

As per given,

Diameter = 3 inches

radius(r) =
\frac32 inches

l = 4 inches

Surface area =
(22)/(7) (\frac32)(4+\frac32)

=
(22)/(7) (\frac32)(\frac{11}2)

=
(363)/(14) square inches

Required surface area of cone =
(363)/(14) square inches

User Ragardner
by
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