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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?

Respuesta :

calculista

Answer:

[tex]9.42\ ft^{2}[/tex]

Step-by-step 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

[tex]SA=\pi r^{2} +\pi rl[/tex]

we have

[tex]r=0.5\ ft[/tex]

[tex]l=1.5\ ft[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values

[tex]SA=(3.14)(0.5)^{2} +(3.14)(0.5)(1.5)[/tex]

[tex]SA=3.14\ ft^{2}[/tex]

step 2

Find the surface area of the three hanging lanterns

[tex]SA=(3)*3.14=9.42\ ft^{2}[/tex]

dconner0

Answer:

9.42

Step-by-step explanation:

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