Respuesta :

Answer:

23518

Step-by-step explanation:

1) the total volume can be calculated as the sum of two volumes (for more info see the picture): V=V₁+V₂, where V₁ belongs to the prisma and V₂ - to the cylinder;

2) V₁=a*b*h; V₁=20*20*37=14800 (m³);

V₂=3/4*(π*r²*h); V₂=3/4*3.1415*100*37≈8717,6625 (m³), note the full volume of the cylinder cannot be included into the result, but 3/4 of its volume;

3) finally, V=14800+8717.6625=23517,6625≈23518 (m³).

Ver imagen evgeniylevi

Answer:

V = 23518 m3

Step-by-step explanation:

The volume of the cube part of building

(20)(20)(37)=14800 cm3

Each cylinder:

h=37/12=3.083 m

r=10 m

[tex]v=\pi (10)^{2} (3.083)=968.66m^{3}[/tex]

all the cylinders:

[tex]v=(12)(968.66)=11,623.89cm^{3}[/tex]

Total volume.

[tex]V=14800+\frac{3}{4} (11,623.89)[/tex]

[tex]V=14800+8717.92=23,517.92[/tex]

nearest m3:

[tex]V=23518m^{3}[/tex]

I hope this help you