Question

Find the lateral area of the cone to the nearest whole
number.

Answer 1

lateral area = pi x radius x slant height

slant height = 40^2 + 30^2 = 1600 + 900=
`√(2500)` = 50

3.14 x 30 x 50 = 4710m^3

Hope that answers your question

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Explanation:

Answer 2

The surface area of the cone's lateral side is 4,712 square meters.

How to get the surface area

The lateral surface area (LSA) of a cone represents the total area covering its curved surface.

Given:

Height (h) = 40 meters

Diameter = 60 centimeters

Radius (r) = Diameter / 2 = 60 / 2 = 30 meters

l = √(r² + h²)

l = √(30² + 40²)

l = √(900 + 1600)

l = √2500

l = 50 centimeters

Lateral Surface Area of the cone

= π * r * l

= 3.14 * 30 * 50

= 4,170

= 4,712 square meters

Therefore, the approximate lateral surface area of the cone is 4,712 square meters.