Question

PLEASE HELP ASAP.. WILL FAN AND MEDAL

Answer 1

Answer: 17.07 centimeters, because height = Square root of the difference of the squares of 18 and 5.7.

Step-by-step explanation:

Given: The slant height of the cone (l)= 18 cm

The radius of the cone (r) =5.7 cm

Let h be the height of the cone .

We know that the above dimensions make aright triangle in a cone, such that by Pythagoras theorem

$l^2=h^2-r^2\\\Rightarrow\ h^2=l^2-r^2\\\Rightarrow\ h=\sqrt{l^2-r^2}\\\Rightarrow\ h=\sqrt{18^2-5.7^2}$

Thus, height = Square root of the difference of the squares of 18 and 5.7

and,

$\Rightarrow\ h=\sqrt{324-32.49}\\\Rightarrow\ h=\sqrt{291.51}\\\Rightarrow\ h=17.0736639302\approx17.07\ cm$

Answer 2

C. 18.88 centimeters. Because with a tilted radius of 5.7. It ranges up. So it would be a higher number SLIGHTLY.
Hope this helps.