Question

if a cone of heights 8 m has a curved surface area of 188.4m^2 then find the radius of its base (Π= 3.14)

Answer 1

The perimeter of the curved surface :

Perimeter of of the curved surface = 2πr × h

2 × 3.14 × r × 8 = 188.4

50.24r = 188.4

r = 188.4/50.24

r = 3.75

r = 3.75 cm

Answer 2

Your answer !!

$\textbf {Given :-}$

$\textbf {Height of cone = 8m}$

$\mathsbf {Curved surface area of cone = 188.4m^2}$

$\mathsbf {Use \pi = 3.14}$

$curved \: surface \: area = 2\pi rh \\ \\ = > 188.4 = 2 \times \frac{314}{100} \times r \times 8 \\ \\ = > \frac{1884}{10} \times \frac{100}{16 \times 314} = r \\ \\ = > \frac{18840}{5024} = r \\ \\ = > 3.75m= r$

$\textbf {Thanks !!}$