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Because 2Pi x r x L is the curved surface of a cylinder.
Clearly a cylinder have more surface area than a cone of same height and radius.
The surface of the cone is Pi x r x S where S is the slope length, so the cylinder has approximately double the surface area (note S is longer than L).
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What is the formulae for finding the curved surface area of a frustum of a cone?
The frustum of a cone looks like a plant pot and its curved surface area is: pi*(r1+r2)*l whereas r1 is the top radius and r2 is the bottom radius with l being its slanted length.
What is the formula to find the area of a cone?
Base surface = pi*r2 Curved surface = pi*r*l where l is the slant height If the vertical height (h) is given rather than the slant height, then use Pythagoras: l2 = h2 + r2
How do you find the surface area of a cone?
A cone has two surfaces, lateral surface and its circular surface at the base.The surface area of a cone is the sum of the areas of these two surfaces, i.e. (1) area of the lateral surface and (2) area of its base.Let us consider a right circular cone to find its surface area.The lateral surface area of a right circular cone is π r lwhere,r is the radius of the circle at the bottom of the cone, andl is the lateral height of the coneThe surface area of the bottom circle of a cone is the same as for any circle, π r2Thus the total surface area of a right circular cone is: π r l + πr2 OR π r (l + r)
The formula for suface area of a cone?
Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r 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. = πrl, where l is the slant height of the cone.
What is the derivation of the total surface area of a cone?
IIr( l + r ) where II is 22/7
