Given: R=2m

KL = LM = KM

Find: V and

Surface Area of the cone

Step-by-step explanation:

Figure of cone is missing. See attachment

Given

Radius, R = 2m

Let L = KL=LM=KM

Required:

Volume, V and Surface Area, A

Calculating Volume

Volume is calculated using the following formula

Where R is the radius of the cone and H is the height

First, we need to determine the height of the cone

The height is represented by length OL

It is given that KL=LM=KM in triangle KLM

This means that this triangle is an equilateral triangle

where OM = OK =

OK =

Applying pythagoras theorem in triangle LOM,

|LM|² =  |OL|² + |OM|²

By substitution

L² = H² + ( )²

H² = L² -  ²

H² = L² (1 -  )

H² = L²

H² =

Take square root of bot sides

Recall that

in terms of an d L where L = KL = LM = KM

Calculating Surface Area

Surface Area is calculated using the following formula

)

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