Answer:
1985 cubic units (written as un. with the cubed exponent)
Step-by-step explanation:
First, you find the volume of the cylinder
Here's the formula:
[tex]V=\pi r^{2}h\\V=volume\\r=radius\\h=height[/tex]
Now, you plug in and solve.
[tex]V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6[/tex]
Then, you find the volume of the dome.
Here's the formula:
[tex]volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius[/tex]
Now, you just plug in and solve.
[tex]V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2[/tex]
Finally, you add them together, and there's your answer!
[tex]1204.6+781.2=1985.8[/tex]
Hope this helped!
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