An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet tall and has total volume 109.9 cubic feet, what is the radius of the sculpture? Use 3.14 for pie
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
The radius of cone-shaped sculpture is 4.582575695.
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 = \(\frac{1}{3}\) π.r².h
109.9 = \(\frac{1}{3}\) ×\(\frac{22}{7}\) × r² ×5
109.9 = (110/21) .r²
109.9 × \(\frac{21}{110}\) = r²
\(\frac{2307.9}{110}\) = r²
20.981 = r²
r =4.582575695... ≈ 4.59.
Hence, the radius of cone-shaped sculpture is 4.582575695.
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