Question

The radius and the height of a cone are in ratio 4:3 the ratio of a curved area and
total surface area of the cone is​

Answer 1

Answer:

5 : 9

Step-by-step explanation:

Radius, r = 4x

Height, h = 3x

Slant height, l = √(r²+h²)

So,

l = √[(4x)² + (3x)²] = √(16x²+9x²) = √(25x²) = 5x

Curved surface area, CSA = πrl

Total surface area, TSA = πrl + πr²

So,

CSA/TSA = πrl/(πrl + πr²) = l/(l+r) = 5x/(5x+4x) = 5x/9x = 5/9