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e volume of a cone, prove that 3rvhueeho.oIrh, c, v are respectively the height, the curved surface area and th |
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Answer» The curved surface area of a cone=C=πrl=πr√(h²+r²)where h, l and r are the height, slant height and radius of the cone.Volume of the cone=V=πr²h/3∴3πVh³-C²h²+9V²=3π{(πr²h)/3}h³-{πr√(h²+r²)}²h²+9(πr²h/3)²=π²r²h⁴-π²r²(h²+r²)h²+9π²r⁴h²/9=π²r²h⁴-π²r²h⁴-π²r⁴h²+π²r⁴h²=0 (Proved) please like the solution 👍 ✔️ |
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