The volume of the composite figure is 263.76 inches³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is
The volume of a cone of radius r and height h is
The volume of a sphere with radius r is
∵ The figure is made up of a cylinder, a cone, and a half sphere
∵ The radius of the cylinder = 3 inches
∵ The height of the cylinder = 6 inches
∵ π = 3.14
- Use the rule of the volume of the cylinder above
∴ The volume of the cylinder = (3.14)(3)²(6)
∴ The volume of the cylinder = 169.56 inches³
∵ The radius of the cone = 3 inches
∵ The height of the cone = 4 inches
∵ π = 3.14
- Use the rule of the volume of the cone above
∴ The volume of the cone = [tex]\frac{1}{3}(3.14)(3)^{2}(4)[/tex]
∴ The volume of the cone = 37.68 inches³
∵ The radius of the half sphere = 3 inches
∵ π = 3.14
- Use the rule of the volume of the sphere above to find the
volume of the half sphere
∴ The volume of half sphere = [tex](\frac{1}{2})(\frac{4}{3})(3.14)(3)^{3}[/tex]
∴ The volume of half sphere = 56.52 inches³
To find the volume of the composite figure add the volumes of the three shapes above
∵ The volume of the composite figure = 169.56 + 37.68 + 56.52
∴ The volume of the composite figure = 263.76 inches³
The volume of the composite figure is 263.76 inches³
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Answer:
263.76 inches³
Step-by-step explanation:
just did on EDG 2020
