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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).
What else can I help you with?
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
What is the surface area for a oblique cone?
The surface area of an oblique cone can be calculated using the formula ( A = \pi r (r + l) ), where ( r ) is the radius of the base and ( l ) is the slant height of the cone. The formula consists of the area of the circular base (( \pi r^2 )) and the lateral surface area (( \pi r l )). Since the cone is oblique, it does not affect the surface area calculation, which remains the same as for a right cone. Thus, knowing the radius and the slant height is essential to find the total surface area.
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)
What will quadruple the lateral surface area of a cone?
To quadruple the lateral surface area of a cone, you need to increase either the radius or the height of the cone. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. To achieve quadrupling, you could multiply the radius ( r ) by 2 or the slant height ( l ) by 2, or a combination of both, as long as the product results in four times the original area.
How do you find the curved surface area of cone?
Suppose you have a cone with slant height='l' and base radius 'r' and perpendicular height 'h' Curved surface area of COne=pi*r*l =pi*r*(squareroot(r2+h2))
Why is the curved surface of cone not 2pi x r x l when the circumference is 2 x pi x r and L is the slant height that moves through this distance?
Good question. Firstly, I'm assuming you are referring to a regular cone (i.e one with the same slope on all sides, as opposed to one where the uppermost "tip" is pushed off centre).The area 2*pi*radius* length does give you a "surface", but it is based on the base measurements of the cone - it is the surface that would be created if you were to extend the curved surface straight upwards from the base of the cone (i.e creating a cylinder, not a cone).A cone clearly has less curved surface area than a cylinder - in fact, it has half the surface area of the equivalent cylinder. So the equation is pi*radius*slant height. (i.e not 2*pi*radius*slant height).
Area of a cone?
The surface area of a cone is: Curved Surface: pi X the radius X L (L is the slant of the cone pointing to the tip. \ ) Flat Area/Base: pi X the radius *squared* easy.
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.
How do you find the lateral surface area of a cone?
pi times l times r (r and l are the radius and slant height, respectively)This can be derived by using a ratio (area/circumference) of the circle with radius L (slant height) with the ratio of the arc (arc-area/arclength). It should look something like this.(pi*l^2)/(2pi*l) = (arc-area)/(2pi*r)
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
What is the surface area for a oblique cone?
The surface area of an oblique cone can be calculated using the formula ( A = \pi r (r + l) ), where ( r ) is the radius of the base and ( l ) is the slant height of the cone. The formula consists of the area of the circular base (( \pi r^2 )) and the lateral surface area (( \pi r l )). Since the cone is oblique, it does not affect the surface area calculation, which remains the same as for a right cone. Thus, knowing the radius and the slant height is essential to find the total surface area.
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)
What will quadruple the lateral surface area of a cone?
To quadruple the lateral surface area of a cone, you need to increase either the radius or the height of the cone. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. To achieve quadrupling, you could multiply the radius ( r ) by 2 or the slant height ( l ) by 2, or a combination of both, as long as the product results in four times the original area.
Curved surface area of a cuboid?
The curved surface area of a cuboid is not a standard term, as a cuboid has flat surfaces. However, if you are referring to the total surface area, it is calculated using the formula: ( 2(lw + lh + wh) ), where ( l ) is the length, ( w ) is the width, and ( h ) is the height. For just the lateral (or curved) surface area, you would consider the four vertical faces, given by ( 2h(l + w) ).
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
