Finding lateral surface area of total surface area and volume of soap
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Surface Area of a Cone
The total surface area of a coneis the sum of the area of its base and the lateral (side) surface.
The lateral surface area of a cone is the area of the lateral or side surface only.
Since a cone is closely related to a pyramid , the formulas for their surface areas are related.
Remember, the formulas for the lateral surface area of a pyramid is 12pl12pl and the total surface area is 12pl+B12pl+B .
Since the base of a cone is a circle, we substitute 2πr2πr for pp and πr2πr2 for BB where rr is the radius of the base of the cylinder.
So, the formula for the lateral surface area of a right cone is L.S.A=πrlL.S.A=πrl , where ll is the slant height of the cone .
The total surface area of a coneis the sum of the area of its base and the lateral (side) surface.
The lateral surface area of a cone is the area of the lateral or side surface only.
Since a cone is closely related to a pyramid , the formulas for their surface areas are related.
Remember, the formulas for the lateral surface area of a pyramid is 12pl12pl and the total surface area is 12pl+B12pl+B .
Since the base of a cone is a circle, we substitute 2πr2πr for pp and πr2πr2 for BB where rr is the radius of the base of the cylinder.
So, the formula for the lateral surface area of a right cone is L.S.A=πrlL.S.A=πrl , where ll is the slant height of the cone .
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