please do this ... the radius …

Let radius and height of the cone be 3x and 4x respectively.

Therefore,

(1/3)πr²h = 301.44

(1/3) × 3.14 × 3x × 3x × 4x = 301.44

x³ = 8

x = 2

Then, Radius = 3x = 3 × 2 = 6 cm and Height = 4x = 4 × 2 = 8 cm

Now, slant height (l) = (r² + h²)^1/2

             = (6² + 8²)^1/2 = 10 cm

CSA of cone = πrl = 3.14 × 6 × 10 = 188.40 cm²

Let the radius be 3x and height of the cone be 4x 

Use pi=3.14

and using the formula (1/3)(pi)r²h = Volume 

Find x , It comes x=2

Therefore radius is 6 and height is 8. Then FInd its CSA

Ans. Let radius of cone is r and height of cone is h and slant height of cone is l.

Then $\frac{r}{h} = \frac{3}{4}$ or $h = \frac{4r}{3} ..........\left(1\right)$ 

Volume of Cone = 301.44 cm³

=> We Know Volume of cone = $\frac{1}{3}\pi r^2 h$

=> $301.44 = \frac{1}{3}\times 3.14\times r^2\times \frac{4r}{3}$

=> $r^3 = \frac{301.44 \times 9 }{3.14\times 4}$

=> $r^3 = 216$

=> $r = 6$ cm

Put value of r in (1), We get 

$h = \frac{4\times 6}{3} = 8cm$

Slant Height of cone (l) = $\sqrt{{\left(r\right)}^2+{\left(h\right)}^2 } = \sqrt{{\left(6\right)}^2+{\left(8\right)}^2}=\sqrt{36+64} = \sqrt{100} = 10cm$

Curved Surface Area = $\pi \times r\times l = 3.14 \times 6 \times 10 = 188.4 c{m}^2$