Question

A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet. To the nearest whole unit, what is the area of the canvas, including the floor? Use 3.14 for π.

Answer 1

The area of the canvas, including the floor is 1548 sq. feet.

Explanation:

Given : A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet.

To find : What is the area of the canvas, including the floor?

Solution :

A conical tent made of canvas has a base that is 34 feet.

The diameter of the base is D=34 feet.

The radius of the base is
`r=(34)/(2)=17`

The slant height l=12

The area of the canvas, including the floor is

`A=\pi r l+\pi r^2`

`A=\pi r(l+r)`

`A=3.14* 17(17+12)`

`A=3.14* 17*29`

`A=1548.02`

In nearest whole unit, A=1548 sq. feet.

Therefore, The area of the canvas, including the floor is 1548 sq. feet.