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17. Find the volume of the composite solid. (3pts)18. Find the volume of the composite solid. RoundJour answer to the nearest hundredth. (3pts)7 ft810 ft4020 ft12 ftVolume =Volume =

17 Find the volume of the composite solid 3pts18 Find the volume of the composite solid RoundJour answer to the nearest hundredth 3pts7 ft810 ft4020 ft12 ftVolu class=


Answer :

Solution

Part 17

We can find the volume as the sum of two elements like this:

V1= 12ft*20ft*10 ft= 2400 ft^2

And similarly for the second element we got:

[tex]V2=\frac{1}{3}\cdot(12ft\cdot20ft)\cdot7ft=560ft^3[/tex]

The total volume is:

V= V1 + V2= 2400+ 560= 2960 ft^3

Part 18

We can find the volume of the two solids and we have:

[tex]V_1=\pi(8ft)^2\cdot40ft=8042.477ft^3[/tex]

And for the second solid :

[tex]V_2=\frac{4}{3}\pi(8ft)^3=2144.66ft^3[/tex]

And the total volume would be:

[tex]V_t=\text{8}042.477+2144.66=10187.138ft^3[/tex]

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