Question

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.

Answer 1

Answer: Joe is taller than the tepee

Answer 2

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 =
  `√(height^2+radius^2)`

• The height of a cone is
  `=\sqrt{slant\ height ^2- radius^2`

• The volume of a cone =
  `\frac{1}3 \pi r^2 h`

• Lateral surface area is
  `=\pi r l`

Given that,

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

The height of the cone is
`=\sqrt{slant\ height ^2- radius^2`

`=√(7^2-4^2)`feet

`=√(33)` 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.