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Q: Is a triangle a slant cross section of a right cone?
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The slant height of a pyramid and the altitude of a pyramid are not the same thing?

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)


What is the definition of a uniform cross-section?

A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).


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


Which is bigger a pyramids height or its slant height?

Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.


How do you find the slant height of a cone if you have surface lateral and radius?

Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.

Related questions

What is slant height of triangle if height is 1200 and the slant height angle is 60 degree given?

I could solve this if I knew what kind of triangle this was. Equilateral, Right: 30, 60, 90?


The slant height of a pyramid and the altitude of a pyramid are not the same thing?

True, because the slant height and the altitude, or height, of the pyramid form one leg and the hypotenuse of a triangle withing the pyramid, and the hypotenuse of a triangle is always the longest side- it is not possible for the hypotenuse to be equal to the legs of a right triangle. (It is a right triangle because an altitude is perpendicular to the base of a pyramid.)


How do you get the slant height of a triangle when you have a height of 5 and a radius of 4?

What do you mean by the radius of 4? Radius is used in circles. Do you mean that the breadth is 4? If so you can use Pythagoras's Theorem to find the 'slant height' (provided that it is a right-angle triangle) (slant height)2=52+42


What is the definition of a uniform cross-section?

A Uniform Cross Section is the cross section of the solid, parallel to base, such that the resulting figure has the same shape and size as that of the base of the figure.More about Uniform Cross SectionSolids like pyramids and cones have slant heights and hence do not have uniform cross section.Examples of Uniform Cross SectionThe uniform cross section of the given prism is a square.The uniform cross section of the given cylinder is a circle.In short to say, uniform cross-section are when you dissect a 3D solid and you get all same shape (uniform).


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


How do you calculate water volume in cylindrical tank while it's slant edge is rest on horizontal?

Volume = Area of cross section x height


The slant height of a pyramid is 46 ft The base is a square with a side length of 24 ft What is the height of the pyramid Round your answer to the nearest tenth?

If there is a picture, it would be very useful, because the height and slant height are two sides of a right triangle. A good picture would show that the bottom side of this triangle is half the side length of the square. This is a leg of the right triangle: A=12' The hypotenuse of the triangle is the slant height: C=46' The "unknown" height is the other leg of the right triangle: B=? The pythagorean theorem A2+B2=C2 gives 144sqft+B2=2116sqft Solving for B gives B=44.4' Therefore, the height of the pyramid is 44.4 feet.


Is slant height greater than the height?

Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.


Which is bigger a pyramids height or its slant height?

Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.


What cross-section do you get when you give a vertical cut to a circular pipe?

The answer depends on the orientation of the pipe and the cut. Even if the cut is vertical, it can be along the axis (length) of the pipe, at right angles to it or at a slant. If the cut is along the axis, the cross section will be two rectangles where the length of the rectangle is the length of the pipe and the width is the thickness of the pipe. If the pipe has negligible thickness, this may be taken to be two parallel lines. If the cut is at right angles to the axis then the cross section will be an annulus which, when the thickness is negligible will become a circle. Finally, if the cut is skew, then you will get ellipses which will collapse to a single ellipse for negligible thickness.


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.


What is whether a publication leans to the left or right politically?

Slant