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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
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.
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.
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
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.
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
You can use the surface area formula for a right cone to find the surface area of an oblique cone.?
Yes, you can use the surface area formula for a right cone to find the surface area of an oblique cone, as the surface area calculation primarily depends on the slant height and the radius of the base, which are applicable to both types of cones. The surface area ( S ) of a cone is given by ( S = \pi r (r + l) ), where ( r ) is the radius of the base and ( l ) is the slant height. The key difference lies in determining the slant height for an oblique cone, which may require additional geometric considerations. Once the appropriate dimensions are established, the formula remains valid.
A right cone has a slant height of 6 and a radius of 2. What is its surface area?
To find the surface area of a right cone, use the formula ( SA = \pi r (r + l) ), where ( r ) is the radius and ( l ) is the slant height. Given ( r = 2 ) and ( l = 6 ), the surface area is ( SA = \pi \times 2 \times (2 + 6) = \pi \times 2 \times 8 = 16\pi ). Therefore, the surface area of the cone is ( 16\pi ) square units.
