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Pls help. The question is on the picture

Pls help. The question is on the picture-example-1

2 Answers

3 votes

Answer:

V = 23518 m3

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


v=\pi (10)^(2) (3.083)=968.66m^(3)

all the cylinders:


v=(12)(968.66)=11,623.89cm^(3)

Total volume.


V=14800+(3)/(4) (11,623.89)


V=14800+8717.92=23,517.92

nearest m3:


V=23518m^(3)

I hope this help you

User Sikan
by
8.3k points
6 votes

Answer:

23518

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).

Pls help. The question is on the picture-example-1
User AlexWien
by
8.0k points

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