the lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone
2 answers:
Let r = radius, h = height and l = slant height Lateral area = rlpi But l = sqrt(r^2 + h^2) Lateral area = r sqrt( r^2 + h^2) pi = 20 pi..................(1) Total area = r sqrt( r^2 + h^2) pi + r^2 pi = 36pi......(2) Subtract (1) from (2) r^2 pi = 16 pi r^2 = 16 r = 4 cm Put this value in (1) to find h 4sqrt(4^2 + h^2) pi = 20 pi sqrt(16 + h^2) = 5 Square both sides 16 + h^2 = 25 h^2 = 9 h = 3 cm Now that we know h and r we can find the volume V = 1/3 pi r^2 h = 1/3 pi (4^2)(3) <span>= 16 pi cm^3 .........( = 50.27 cm^3) I hope my answer has come to your help. God bless and have a nice day ahead! </span>
Hello there. <span> The lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone </span> 50.27 cm^3
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