The ratio of curved surface area to total surface area of a cone is 1:3. If the tsa of the cone is 6428 sq cm, find the volume of the cone.

dear student,

ATQ,

=1:3

solving we get,

2l=r...(i)

sustitute this value in TSA

=6428

and get the value of r

then find l using (i)

then use the formula

l= to find h.

then find volume by  using

volume =