How is the formula for surface area of a cone derived?

How is the formula for surface area of a cone derived?

The total surface area of a cone is the combination of the curved surface as well as the base area of a cone. The formula to calculate the total surface area of the cone is: TSA of cone = πr2 + πrl = πr(l+r) square units.

How do you find the development of a cone?

To calculate the dimensions of the development, first the slant height of the cone must be found from Pythagoras’ theorem, ie R = √ [ H^2 + ( D/2 )^2]. The sector angle θ is found from the formula θ = D x ( 180 / R ), which gives θ in degrees. Draw the arc with compasses set to a radius of R .

What is the formula for finding the angle in the development of cone?

Angle = (D1 x 360) / D2 Where: Angle = the included angle between the outside lines of the main development. D1 = the diameter is of the base of the cone (see diagram below) D2 = the diameter is of the developed cone, which you get from the elevation of your cone (see diagram below)

What are different methods of development of surfaces?

Parallel-line development: Used for prisms, cylinders etc. in which parallel lines are drawn along the surface and transferred to the development. Radial-line development: Used for pyramids, cones etc. in which the true length of the slant edge or generator is used as radius.

Why is the volume of a cone calculated?

The formula for the volume of a cone is one-third of the volume of a cylinder. The volume of a cylinder is given as the product of base area to height. Hence, the formula for the volume of a cone is given as V = (1/3)πr2h, where, “h” is the height of the cone, and “r” is the radius of the base.

What is the formula of surface area of rectangle?

You can use the following formula to find the area of a rectangle. Step 1: Multiply the length by the width. Step 2: L X W , where L is the length and W is the width. A square which is also a type of rectangle with all equal sides.

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