Question

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.

Answer 1

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