Question

Fatema is making three hanging lanterns. They are each in the shape of a cone with a base radius of 0.5 feet and a slant height of 1.5 feet. She plans to completely cover all three lanterns with fabric. How many square feet of fabric will Fatema need?

Answer 1

9.42

Explanation:

Answer 2

`9.42\ ft^(2)`

Explanation:

step 1

Find the surface area of one hanging lantern

we know that

The surface area of a cone (hanging lantern) is equal to

`SA=\pi r^(2) +\pi rl`

we have

`r=0.5\ ft`

`l=1.5\ ft`

assume

`\pi=3.14`

substitute the values

`SA=(3.14)(0.5)^(2) +(3.14)(0.5)(1.5)`

`SA=3.14\ ft^(2)`

step 2

Find the surface area of the three hanging lanterns

`SA=(3)*3.14=9.42\ ft^(2)`