What is the Volume and surface area of a cone with a diameter of 18ft and a slant height of 30ft

A cone with a diameter of 18ft and a slant height of 30ft

Using Pythagorean theorem, the height is calculated by:

H = sqrt(18^2 - (30/2)^2) = 9.95

The surface area:

A = lateral surface area + base

A = pi x radius x slant height + pi x radius^2

A = pi x (30/2) x 18 + pi x (30/2)^2 = ~1555.1 (ft2)

The volume:

V = base x height x (1/3)

V = pi x radius^2 x height

V = pi x (30/2)^2 x 9.95 = 7033.2 (ft3)

Hope this helps!

:)

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