Question

the ratio of radius of base and perpendicular height of a cone is 1 is to 3 volume is 8624 Cubic cm find its total surface area​

Answer 1

Step-by-step explanation:

lets assume the radius is "r" cm,

and the perpendicular height i s "h" cm

it is told that r : h= 1:3;

or, h = 3r

hence, 1/3πr^2h=8624

or, 1/3πr^2•3r=8624

or, πr^3=8624

or, r^3=8624÷π

or, r^3 = 2744

or, r=14

the total surface area is = πrl+πr^2

or, πr{√(r^2+h^2)+r}

=π•14{√(196+1764)}

=1947.96 unit