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A cone shaped tepee has a radius of 4 feet and a slant height of 7feet. If joe is six feet tall, determine whether joe is shorter or taller than the height of the tepee.

Respuesta :

Answer:

Therefore Joe is taller than the height of the tepee.

Step-by-step explanation:

Cone:

  • Cone is three dimensional shape.
  • It has an vertex.
  • Slant height of an object is a height that measured along a lateral surface from the vertex to the the base.
  • The slant height of a cone is =   [tex]\sqrt{height^2+radius^2}[/tex]
  • The height of a cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]
  • The volume of a cone =  [tex]\frac{1}3 \pi r^2 h[/tex]
  • Lateral surface area is  [tex]=\pi r l[/tex]

Given that,

A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.

The height of the cone is  [tex]=\sqrt{slant\ height ^2- radius^2[/tex]

                                           [tex]=\sqrt{7^2-4^2}[/tex]feet

                                          [tex]=\sqrt{33}[/tex] feet

                                          ≈5.74 feet

Given that, Joe is 6 feet tall.

Since 6 feet> 5.74 feet

Therefore Joe is taller than the height of the tepee.

frankeyakincaid26

Answer: Joe is taller than the tepee

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