Question

The volume of cone is 1232 cm^3. If the diameter of the base is 14 cm.then find height of the cone, slant height of the cone, curved surface area of the cone.​

Answer 1

volume of cone = 1/3πr²h= 1232cm³

radius of cone = diameter/2

= 14/2

=7

1/3πr²h= 1232

1/3×22/7×7²×h=1232

h=1232×3×7/22×7²......solved it

h=24cm

slant height of cone= l

l= √h²+r²

l=√24²+7²

l=√576+49

l=√625

l=25

c.s.a.of cone =πrl

=22/7×7×25

=550cm²