Question

volume of a cone is 1232cm^3 and radius of its base is 7cm .find its total surface area​

Answer 1

volume of a cone = 1/3 πr²h

1232=1/3×22/7×(7) ²×h

therefore h=1232×3×7/22×49

h=24

therefore slant height (l) =√h²+r²

l=√576+49

l=√625

l=25 cm

therefore, total surface areaw of a cone= πr(l+r)

=22/7×7(25+7)

=22×32

=704 cm²