Anita needs to construct ten cones for a class project. How many square feet of material will she need? Use 3.14 for π. Enter your answer in the box.
Answers
Given :- Anita needs to construct ten cones for a class project. How many square feet of material will she need if the diameter is 6ft and the height is 12ft ? Use 3.14 for π. Enter your answer in the box. .
Solution :-
given that,
→ Diameter = 6 ft.
so,
→ Radius = Diameter/2 = 6 / 2 = 3 ft.
then,
→ slant height of cone = √(radius² + height²) = √(3² + 12²) = √(9 + 144) = √(153) ≈ 12.4 ft .
then,
→ Material used for 10 cones = 10 * CSA of 1 cone
→ Material used = 10 * (π * radius * slant height.)
→ Material used = 10 * 3.14 * 3 * 12.4
→ Material used = 3.14 * 3 * 124
→ Material used = 1168.08 ft² (Ans.)
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