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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.

Sagot :

JeanaShupp

Answer: [tex]\frac{363}{14} [/tex] square inches

Step-by-step explanation:

Surface area of cone = [tex]\pi r( l +r)[/tex], 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) = [tex]\frac32[/tex] inches

l = 4 inches

Surface area = [tex]\frac{22}{7} (\frac32)(4+\frac32)[/tex]

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

= [tex]\frac{363}{14} [/tex] square inches

Required surface area of cone = [tex]\frac{363}{14} [/tex] square inches

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