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Explain how the altitude of a right cone is related or not related to the slant height of the same cone.?
The altitude of a right cone is the perpendicular distance from the base to the apex, while the slant height is the distance from the apex to any point on the edge of the base along the cone's surface. These two measurements are related through the Pythagorean theorem; if the radius of the base is known, the slant height can be calculated using the formula ( l = \sqrt{h^2 + r^2} ), where ( l ) is the slant height, ( h ) is the altitude, and ( r ) is the radius of the base. Thus, while they are distinct measurements, the altitude and slant height are interconnected through the geometry of the cone.
In the equation for the lateral area of a regular pyramid one can replace the slant height with the altitude of the pyramid?
False
What is the slant height of a cone with 8 height and 6 radius?
A right circular cone with 8 height and 6 radius has a slant height of 10.
What is the equation of cone?
There is no single equation. There are different equations for its volume, surface area, vertical height, slant height, base radius, and so on and some of these depend on what information is available.
How do you find the height of a cone if you have the slant height and the radius?
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
What is the slant height of a cone with a radius of 7 and a altitude of 19?
If you visualize the cone by cutting it vertically (with a plane perpendicular to the base), you can construct a right triangle to represent the radius, altitude, and slant height. This triangle has legs of 7 (the radius) and 19 (the altitude). Its hypotenuse represents the slant height. We can then use the Pythagorean theorem to solve for the slant height: 72 + 192 = s2 72 + 192 = s2 410 = s2 s = √(410) s ≈ 20.24 Therefore the cone has a slant height of √(410), or approximately 20.248456731316586933246902289901 units.
Explain how the altitude of a right cone is related or not related to the slant height of the same cone.?
The altitude of a right cone is the perpendicular distance from the base to the apex, while the slant height is the distance from the apex to any point on the edge of the base along the cone's surface. These two measurements are related through the Pythagorean theorem; if the radius of the base is known, the slant height can be calculated using the formula ( l = \sqrt{h^2 + r^2} ), where ( l ) is the slant height, ( h ) is the altitude, and ( r ) is the radius of the base. Thus, while they are distinct measurements, the altitude and slant height are interconnected through the geometry of the cone.
In the equation for the lateral area of a regular pyramid one can replace the slant height with the altitude of the pyramid?
False
How do you find the radius of a cone if you have the height and slant height?
A cone is a solid composed of a circle and its interior (base), a given point not on the plane of the circle (vertex) and all the segments from the point to the circle.A right cone is a cone where the vertex is directly above the centre of the base. If you are talking about a right cone then the radius of the base can be calculated using Pythagorus, a2 + b2 = c2, whereby a = radius, b = height (altitude) and c = slant height.Therefore a2 = c2 - b2 or (radius)2 = (slant height)2 - (altitude)2
What is the slant height of a cone with 8 height and 6 radius?
A right circular cone with 8 height and 6 radius has a slant height of 10.
What is the equation of cone?
There is no single equation. There are different equations for its volume, surface area, vertical height, slant height, base radius, and so on and some of these depend on what information is available.
What is the slant height of a cone if the surface area is 395.64 square meters?
The surface area is a function of the height (or slant height) and the radius of the base. So, the slant height is a function of the surface area and the base-radius. Since the latter is unknown, the slant height cannot be calculated.
How do you find the height of a cone if you have the slant height and the radius?
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
A right cone has a radius of 5 in and a height of 6in What is the slant height of the cone?
Slant height is 7.81 inches.
What is the surface area of a cone with a slant height of 40 and a radius of 20?
A slant height of 20 and base circle radius (r) of 20 gives slant length (s) = 28.284 equation for cone surface area : (pi * r * s) + (pi * r2) = 1777.136 + 1256.637 = 3033.773 units2
How do you work out the slant height of a cone?
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
Slant height and the altitude of a pyramid are the same thing?
No.
