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Schendelzare
Schendelzare
2020-12-10

Conical Frustum Formulas in terms of r and h: Slant height of a conical frustum: s = โˆš((r1 - r2)2 + h2) Volume of a conical frustum: V = (1/3) * ฯ€ * h * (r12 + r22 + (r1 * r2)) Lateral surface area of a conical frustum: S = ฯ€ * (r1 + r2) * s = ฯ€ * (r1 + r2) * โˆš((r1 - r2)2 + h2) Top surface area of a conical frustum (a circle): T = ฯ€r12 Base surface area of a conical frustum (a circle): B = ฯ€r22 Total surface area of a conical frustum: A = ฯ€ * (r12 + r22 + (r1 + r2) * s) = ฯ€ * [ r12 + r22 + (r1 + r2) * โˆš((r1 - r2)2 + h2) ] Conical Frustum Calculations: Use the following additional formulas along with the formulas above. Given radius1, radius2 and height calculate the slant height, volume, lateral surface area and total surface area. Given r1, r2, h find s, V, S, A use the formulas above Given radius1, radius2 and slant height calculate the height, volume, lateral surface area and total surface area. Given r1, r2, s find h, V, S, A h = โˆš(s2 - (r1 - r2)2) Given radius1, radius2 and volume calculate the height, slant height, lateral surface area and total surface area. Given r1, r2, V find h, s, S, A h = (3 * V) / (ฯ€ * (r12 + r22 + (r1 * r2))) Given radius1, radius2 and lateral surface area calculate the height, slant height, volume and total surface area. Given r1, r2, S find h, s, V, A s = S / (ฯ€ * (r1 + r2)) h = โˆš(s2 - (r1 - r2)2) Given radius1, radius2 and total surface area calculate the height, slant height, volume and lateral surface area. Given r1, r2, A find h, s, V, S s = [A/ฯ€ - r12 - r22] / (r1 + r2) h = โˆš(s2 - (r1 - r2)2) EZ xp... :)

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