MATH SOLVE

5 months ago

Q:
# A cone shaped hat is shown:What is the approximate height of the hat?A: 2.79 centimeters, because height = Square root of the difference of 14 and 6.2B: 4.49 centimeters, because height = Square root of the sum of 14 and 6.2C: 12.55 centimeters, because height = Square root of the difference of squares of 14 and 6.2D: 15.31 centimeters, because height = Square root of the sum of the squares of 14 and 6.2

Accepted Solution

A:

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