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

Answer:

$9.42\ ft^{2}$

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

$SA=\pi r^{2} +\pi rl$

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

$SA=(3)*3.14=9.42\ ft^{2}$