How to Find The Height Of A Cone How to Find The Height Of A Cone Cone Definition :A cone is a three-dimensional geometric shape consisting of all line segments joining a single point to every point of a two-dimensional figure. Cone Formula :Slant height of Cone(l) = Sqrt(r² + h²) Volume of Cone = (1/3)πr²h Curved Surface Area(CSA) of Cone = πrl Total Surface Area(TSA) of Cone = πr(l + r) Where r = radius, l = slant height, h = height Know More About : Dividing Radicals Calculator
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Cone Example :Case 1: Find the volume, curved surface and total surface area of a cone with the given radius 3 and height 4. Step 1: Find the slant height. Slant height(l) = Sqrt(r² + h²) = Sqrt(3² + 4²)= Sqrt(9 + 16) = Sqrt(25) = 5. Step 2: Find the volume. Volume = (1/3)πr²h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 = 37.68. Step 3: Find the curved surface area(CSA). CSA = πrl = 3.14 * 3 * 5 = 47.1. Step 4: Find the total surface area(TSA). TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 = 75.36. The above example will clearly illustrates how to calculate the Volume, Curved Surface and Total Surface Area of a Cone manually. The Intersection between two lines defines an Angle between two lines. Here we will see how to find the angle between two lines. For finding the angle between two lines we have to follow some of the steps: Read More About : Division Calculator
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Step1: First assume the angle between two lines. Step2: Then we have to find the value of slopes of the given lines. Let the line be ‘L1’ and ‘L2’. Step3: Now we have to find the Tangent difference between the two angles by using trigonometric Functions. Step4: Using these steps we get the angle between two lines. We know that, a2 = a1 + ∅, ∅ = a2 – a1, Now we determine the value of slopes of line ‘L1’ and ‘L2’. By using trigonometric functions: tan∅ = tan (a2 – a1), = tan a2 - tan a1, 1 + tan a1 tan a2 If tan a1 = m1 (m1 is the Slope of the line l1) tan a2 = m2 (m2is the slope of the line l2) So that, The value of ‘m2’ is greater than ‘m1’, (m2 > m1).
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