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
- V =
πr²h ⇒
Bh
The volume of a sphere with radius r is
- V =
πr³
∵ 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 = ![\frac{1}{3}(3.14)(3)^{2}(4)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%283.14%29%283%29%5E%7B2%7D%284%29)
∴ 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 = ![(\frac{1}{2})(\frac{4}{3})(3.14)(3)^{3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%28%5Cfrac%7B4%7D%7B3%7D%29%283.14%29%283%29%5E%7B3%7D)
∴ 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
Learn more:
You can learn more about the volume in brainly.com/question/12497249
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