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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.?
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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 vertical dimension from the base to vertex or apex of a figure forming a right angle?
Height or altitude.
What equation do you use to find slant height from altitude and radius?
On the off chance that the question refers to a right cone, l2 = r2 + h2 by Pythagoras, where l is the slant height, h the altitude and r the radius.
What is the altitude of a right circular cylinder with a volume of 500 cu in and the base having a radius of 4 in?
pi*r2*h = volume pi*16*h = 500 Divide both sides by pi*16 to find the height or altitude: altitude or height = 9.947183943 inches
When you see a picture of a right pyramid with a regular polygon base how do you identify its height and its slant height?
Its vertical height is that of the perpendicular from the centre of the base to the apex; the slant height is the length of the sloping "corner" between two faces. The height of a regular pyramid is the vertical distance from the center of base to the top and is usually shown with a line perpendicular to the base, denoted with a right angle to the base. The slant height it the height of the lateral face (the triangles) from the edge of the base to the top of the pyramid. It is the height of the triangle, not the pyramid itself. The slant height will also be the hypotenuse of a right angle formed from the altitude of the pyramid and the distance from the center of the base to the edge.
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 for the word altitude in math?
Altitude is the math term that most people call height. The altitude is always perpendicular to base. The altitude of a triangle is the distance from one side (or an extension of that side) to the opposite vertex. The altitude of a parallelogram or trapezoid is the distance from one side (or an extension of that side) to the opposite side. Since the altitude must be perpendicular to the base, it is the term used for figures which do not have a right angle. Right triangles, squares, and rectangles, which have a right angle, do not require an altitude because the height is one of the sides of the figure.
What is the vertical dimension from the base to vertex or apex of a figure forming a right angle?
Height or altitude.
What equation do you use to find slant height from altitude and radius?
On the off chance that the question refers to a right cone, l2 = r2 + h2 by Pythagoras, where l is the slant height, h the altitude and r the radius.
What is the altitude of a right circular cylinder with a volume of 500 cu in and the base having a radius of 4 in?
pi*r2*h = volume pi*16*h = 500 Divide both sides by pi*16 to find the height or altitude: altitude or height = 9.947183943 inches
What is the height of the triangle?
The height of a triangle is the point from the base to the upmost point of the triangle. On a right triangle, it is measured on the the longest side that makes a right angle. Thanks for using Answers.com!
A right circular cylinder has a volume of 500 cu in if the base has a radius of 4 in what is the altitude of the cylinder?
The volume of a right circular cylinder is found by using this formula: V=pi/4*r2*height Note: In this case, altitude and height are the same thing. Fill in the measurements you are given and solve. 500 = (3.14)(4)2(height) 500 = (3.14)(16)(height) 500 = (50.24)(height) height = approximately 9.95 inches
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 the altitude in geometry?
Altitude is the height of a shape. The point where all altitudes of a closed shape meet is called the orthocenter. To FIND an altitude rest one flat side of the shape on the "ground" and measure straight up to the point furthest from the ground. In other words, measure at a right angle from the line segment forming one side across to a line segment or vertex on the opposite side. Example: Altitude of a square, measure any side -- the altitude of the "top" is the same height as any other side, since all sides are at right angles and the distance from the bottom to the top is the same anywhere on the square.
What is the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 60mm?
A right cylinder having a base radius of 12mm and a height of 60mm has a lateral area of approximately 4523.89mm2
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 formula for calculating volume of a hollow cylindrical pipe?
Volume = Area * Length The volume of a right circular cylinder is πr2h where r is the radius of the base and h is its height (altitude)
