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How do you find the height of a frustum with a slant height?

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How do you find the height of a frustum with a slant height?

Height of the cone of which the frustum is a part=hRR−r. Slant height of the cone of which the frustum is a part=lRR−r. Slant height of the frustum=√h2+(R−r)2.

How do you find the radius of a cone with the slant height?

If you are given the slant height

  1. The radius r can be found using the formula. radius r. = √ s. − h. where s is the slant height h is the altitude.
  2. The altitude h can be found using the formula. altitude h. = √ s. − r. where s is the slant height r is the base radius.
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What is the formula of total surface area of frustum of cone?

Answer: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for = radius of the smaller circle and (R) stands for = radius of the bigger circle and the (l) = slant height of the frustum.

What is the symbol for slant height?

cursive l
The height of a lateral face of a pyramid is called the slant height. The symbol for slant height is a cursive l . You can form a parallelogram by splitting the triangles into two halves and putting them back together.

What is the frustum of a right circular cone of height 16 cm with radii of its circular CM as 8 cm and 20 cm has slant height?

Radius of bottom of the frustum ( r ) = 8 cm. => 20 cm. Therefore, Lateral Surface Area of the frustum of a cone = πL ( R + r ) cm².

How do you find the height of a slant height calculator?

Slant Height of a square pyramid:

  1. By the pythagorean theorem we know that.
  2. s2 = r2 + h.
  3. since r = a/2.
  4. s2 = (1/4)a2 + h2, and.
  5. s = √(h2 + (1/4)a2)
  6. This is also the height of a triangle side.
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How do you find the slant height on a calculator?

Slant Height Calculator

  1. Formula. L = SQRT ( H^2 + (S/2)^2)
  2. Side Length or Cone Base Diameter.
  3. Height.

How do you find the surface area of a frustum pyramid?

Since all the lateral faces are congruent, the lateral surface area of the frustum of a regular pyramid is equal to the number of sides of the base multiplied by the area of one trapezoid.

What do you mean by frustum of cone?

Definition of frustum : the basal part of a solid cone or pyramid formed by cutting off the top by a plane parallel to the base also : the part of a solid intersected between two usually parallel planes.