Question

A tepee with a dirt floor in the shape of a right cone has a slant height of 26 feet and a radius of 12.5 feet. approximately how much canvas would be needed to cover the tepee? a tepee with a dirt floor.

Answer 1

To cover the tepee, approximately 1023.5 square feet of canvas would be needed.

Step-by-step explanation:

To calculate the amount of canvas needed to cover the tepee, we need to find the lateral surface area of the cone. The formula for the lateral surface area of a cone is given as:

Lateral Surface Area = π * r * s

Where r is the radius of the base and s is the slant height of the cone. Substituting the values given in the question, we have:

Lateral Surface Area = π * 12.5 * 26

Using the approximation of π as 3.14, we can calculate the lateral surface area as approximately 1023.5 square feet.

Answer 2

We should apply surface area of a cone in order to solve this problem. Indeed, the floor also included in the conditions of the problem. The formula is
`A= \pi r ( r+ \sqrt{h^(2)+r^(2) }`. Setting
`\pi =3.14`, calculation shows that
`A=3.14 * 12.5 (12.5+ \sqrt{12.5^(2) + 26^(2) )` = 556.25
`feet^(2)`