Answer:
15.59 square inches
Step-by-step explanation:
In the required given diagram, the slant height of the cone was given as 3.6 inches.
The least amount of paper required would be equal to the curved surface area of the cone.
curved surface area of a cone = [tex]\pi[/tex]rl
where r is the radius and l the slant height.
circumference of the top rim = 8.66 inches
circumference = 2[tex]\pi[/tex]r
⇒ 8.66 = 2[tex]\pi[/tex]r
4.33 = [tex]\pi[/tex]r
r = 4.33/[tex]\pi[/tex]
curved surface area = [tex]\pi[/tex] x 4.33/[tex]\pi[/tex] x 3.6
= 4.33 x 3.6
= 15.588 square inches
Thus, the least amount of paper that can form the cone shaped cup is 15.59 square inches.
The least amount of paper should be 15.59 square inches
We know that
the curved surface area of a cone =πrl
And, the circumference is 2πr
So here radius should be
8.66 = 2πr
r = 4.33/π
Now
curved surface area should be
= π(4.33/π) ( 3.6)
= 4.33 (3.6)
= 15.59 square inches
Learn more about the circumference here: https://brainly.com/question/24609584
