To explain: whether pyramid has greater surface area or cone has greater surface area.
Surface area of cone is greater than the surface area of the Square pyramid.
Given:
Cone:diameter is x units and slant height is
Square pyramid: length is
Calculation:
The objective is to state which figure has greater surface area.
The lateral area
Where
The surface are
Where
The lateral area
Where
The surface area
Where
First find the lateral are of the cone.
Put
Thus,
The area
Put
Next find the lateral are of the Square pyramid.
The side of the square is
The perimeter
Put
Thus,
The slant height of the Square pyramid is
Put
The area
Put
Since the value of
Therefore, surface area of cone is greater than the surface area of the Square pyramid.
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