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
