How do you find the surface area of a frustum of a 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.

How do you find the volume of a frustum of a cone?

There are two formulas that are used to calculate the volume of a frustum of a cone. Consider a frustum of radii ‘R’ and ‘r’, and height ‘H’ which is formed by a cone of base radius ‘R’ and height ‘H + h’. Its volume (V) can be calculated by using: V = πh/3 [ (R3 – r3) / r ] (OR)

What is the lateral surface area of a frustum?

Lateral surface area of a conical frustum: S = π * (r1 + r2) * s = π * (r1 + r2) * √((r1 – r2)2 + h2)

What is the slant height of a frustum?

4cm
The slant height of the frustum of a cone is 4cm, and the perimeter of its circular bases are 18cm and 6cm respectively.

How do you find the height of a frustum pyramid?

If a plane parallel to the base WXYZ of the pyramid cuts it in the plane W’X’Y’Z’ then the portion of pyramid between the planes WXYZ and W’X’Y’Z’ will be a frustum of the given pyramid. The perpendicular distance between this two planes is the height of the frustum.

Is a frustum half a cone?

In geometry, a frustum (borrowed from the Latin for “morsel”, plural: frusta or frustums) is the portion of a solid (normally a cone or pyramid) that lies between one or two parallel planes cutting it. A right frustum is a parallel truncation of a right pyramid or right cone.

How do you find the height of a cone?

FAQs on Cone Height Formula The height of the cone using cone height formulas are, h = 3V/πr 2 and h = √l2 – r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.

What is a pyramid of frustum?

A pyramidal frustum is a frustum made by chopping the top off a pyramid. It is a special case of a prismatoid. For a right pyramidal frustum, let be the slant height, the height, the bottom base perimeter, the top base perimeter, the bottom area, and the top area.