Question

3. The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.
(a) Sketch the roof of the castle tower. Label the known lengths as described and
label the unknown length as x.
(b) What is the slant height of the roof?

Answer 1

C=hypotenuse=slant  height
a=base=radius= 12 m
b=height=16 m
thus the slant height will be:
c^2=16^2+12^2
c^2=256+144
c^2=400
⇒c=sqrt (400)
c=20

Therefore, thaaa answer is 20 

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