# geometric shapes formula

May 19th, 2015
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Capsule Calculator : • Volume = πr2((4/3)r + a) • Surface Area = 2πr(2r + a) • Circumference = 2πr Also called a stadium of revolution. Circular Cone Calculator • Volume = (1/3)πr2h • Slant Height = √(r2 + h2)• Lateral Surface Area = πrs = πr√(r2 + h2)

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Geometric ShapesFormulasCapsuleCapsule CalculatorVolume =r2((4/3)r + a)Surface Area = 2r(2r + a)Circumference = 2rAlso called astadiumof revolution.Circular ConeCircular Cone CalculatorVolume = (1/3)r2hSlant Height = (r2+ h2)Lateral Surface Area =rs =r(r2+ h2)Base Surface Area =r2Total Surface Area= L + B =rs +r2=r(s + r) =r(r + (r2+ h2))Circular CylinderCircular Cylinder CalculatorVolume =r2hLateral Surface Area = 2rhTop Surface Area =r2Bottom Surface Area =r2Total Surface Area= L + T + B= 2rh + 2(r2) = 2r(h+r)Conical FrustumConical Frustum CalculatorVolume = (1/3)h (r12+ r22+ (r1* r2))Slant Height = ((r1- r2)2+ h2)Lateral Surface Area=(r1+ r2)s =(r1+ r2)((r1- r2)2+ h2)Top Surface Area =r12Base Surface Area =r22Total Surface Area=(r12+ r22+ (r1* r2) * s)=[ r12+ r22+ (r1* r2) * ((r1- r2)2+ h2) ]CubeCube CalculatorVolume = a3Surface Area = 6a2Face Diagonal (f) = a2Diagonal (d) = a3HemisphereHemisphere CalculatorVolume = (2/3)r3Circumference = 2rCurved Surface Area = 2

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