The question is incomplete because the options provided were not correctly written.
Complete question
Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A) 4,176 in²
B) 8,975 in²
C) 10,580 in²
D) 36,267 in²
Answer:
C) 10,580 in²
Explanation:
The question above is solved by finding the Total Surface area of the the conical hats.
We are given the following values for each hats
Diameter of 16 inches , radius of the hat = Diameter ÷ 2 = 16 ÷ 2 = 8 inches
Height of 9 inches.
The formula for the Total Surface Area of a cone = πr[ r + √(h² + r²)]
= π × 8 [ 8 + √(9² + 8²)]
= 503.7 square inches or 503.7 in²
So, for one hat she would be needing 503.7 square inches or 503.7 in² of Vietnamese tissues.
We are told in the question that she wants to wrap 21 conical hats. Hence,
If 1 conical hats is wrapped with 503.7 in² of Vietnamese tissues.
21 conical hats =
21 × 503.7 in² = 10,577.7 in²
Approximately = 10,580 in²
Therefore, to wrap 21 Vietnamese hats, Nguyen would need 10,580 in² of tissue paper.