Respuesta :
Cone Volume = (π • r² • h) ÷ 3
109.9 = PI * 5 * radius^2 / 3
3* 109.9 / (3.14 * 5) = radius^2
329.7 / 15.7
radius^2 = 21
radius = 4.582575695
109.9 = PI * 5 * radius^2 / 3
3* 109.9 / (3.14 * 5) = radius^2
329.7 / 15.7
radius^2 = 21
radius = 4.582575695
The radius of cone-shaped sculpture is 4.582575695.
What is cone?
A cone is "three dimensional shape that narrows smoothly from a flat base to a point".
According to the question,
The sculpture is in cone shape which has 5 feet tall and has total volume of cone 109.9 cubic feet.
Formula for volume of cone = [tex]\frac{1}{3}[/tex] π.r².h
109.9 = [tex]\frac{1}{3}[/tex] ×[tex]\frac{22}{7}[/tex] × r² ×5
109.9 = (110/21) .r²
109.9 × [tex]\frac{21}{110}[/tex] = r²
[tex]\frac{2307.9}{110}[/tex] = r²
20.981 = r²
r =4.582575695... ≈ 4.59.
Hence, the radius of cone-shaped sculpture is 4.582575695.
Learn more about cone here
https://brainly.com/question/22481807
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