the surface area of sphere of radius 5 cm Is five times the curved surface area of a cone of radius 4 cm.find the volume of the cone
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surface area of sphere = 4 pi r2 = 4 pi* 25 = 100 pi
curved surface area of cone = pi * r * l, l is slant height. hence
5* pi* 4 * l = 100 pi. hence l = 5. using Pythagorus therom.
h = height of cone = 3. hence volume of cone = 1/3 pi r2 h
= 1/3pi *16 * 3 = 16 pi
Answer = 16 pi
curved surface area of cone = pi * r * l, l is slant height. hence
5* pi* 4 * l = 100 pi. hence l = 5. using Pythagorus therom.
h = height of cone = 3. hence volume of cone = 1/3 pi r2 h
= 1/3pi *16 * 3 = 16 pi
Answer = 16 pi
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