Question

if a slant height of cone is 10 m has a curve surface area of 188.4 m2 then the radius of its base is ? options 4m, 4.5m, 5m, 6m plz help !!! it iis very necessary for me ​

Answer 1

Step-by-step explanation:

Let, the slant height of a cone be 'l' and radius be 'r'

Curved surface area of a cone = πrl sq. unit.

ATP,

$\pi \times r \times l = 188.4 \: \: \: {m}^{2}$

$\frac{22}{7} \times r \times 10 = 188.4 \: \: {m}^{2}$

$r = \frac{1884}{10} \times \frac{1}{10} \times \frac{7}{22}$

$r = \frac{504}{100} \: \: \: {m}^{2}$

$r = 5.04 \: \: {m}^{2}$

Radius of its base is 5.04 m^2