Question

a right circular cone of vertical height 24cm has volume 616 cm cube find the area of its curved surface

Answer 1

In the attachment I have answered this problem.

The solution is simple and easy to understand.

See the attachment for detailed solution.

Answer 2

a right circular cone of vertical height , h = 24cm
volume of the right circular cone , V = 616cm³

we know, volume of cone = πr²h/3

so, 616 = 22/7 × r² × 24/3

or, 616 × 7 = 22 × 8 × r²

or, 56 × 7 = 2 × 8 × r²

or, r² = 7 × 7/2 = 49/2

or, r = 7/√2

slant height, l = √(r² + h²) = √(49/2 + 576)
l = √(600.5)

so, curved surface area of cone = πrl

= 22/7 × 7/√2 × √(600.5)

= 22 × √(300.25)

= 381.2cm²