Answer:
6 inches
Step-by-step explanation:
Solving
Width of the hat
Answer:
6.00 in (nearest hundredth)
Step-by-step explanation:
Lateral surface area = surface area excluding the bases(s)
Lateral surface area of a cone = [tex]\pi rs[/tex]
(where r is the radius and s is the slant height)
Given:
[tex]\implies 66= \pi r \cdot 7=7 \pi r[/tex]
[tex]\implies r=\dfrac{66}{7 \pi}[/tex]
The width of the hat is the diameter. As diameter = 2r:
[tex]\begin{aligned}\implies \textsf{width} & =2 \cdot \dfrac{66}{7 \pi}\\\\ & =\dfrac{132}{7 \pi}\\\\ & = 6.00\: \sf in\:(nearest\:hundredth)\end{aligned}[/tex]
