Answer: C: 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2
Step-by-step explanation:
Here the radius of the hat = 6.2 cm
And, the slant height of the hat = 14 cm
Since, By the Pythagoras theorem,
[tex](\text{Height})^2 = (\text{ Slant height})^2 -(\text{Radius})^2[/tex]
⇒ [tex](\text{Height})^2 = (14)^2 -(6.2)^2[/tex]
⇒ [tex](\text{Height})^2 = 196 - 38.44 = 157.56[/tex]
⇒ [tex]\text{Height} = \sqrt{157.56}=12.5522906276\approx 12.55\text{ cm}[/tex]
Hence, Option C is correct.
