A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is $20 m \times 10 m \times 20 m$ and the height of the tank is 5m.

$4000 + 500 π$

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$4000 + 125 π$

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$4000 + 250 π$

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$4400 + 250 π$

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Solution

The correct option is B
$4000 + 125 π$

The tank spans half the length of the building.

So, diameter of the tank is 10m and radius is 5m.

So volume of the structure = volume of cuboid (building) + volume of cylinder(tank)

= $(20 \times 10 \times 20) + (π \times (5)^{2} \times 5)$

= $4000 + 125 π$

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A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is 20 m×10 m×20 m and the height of the tank is 5m.

The correct option is B 4000+125π The tank spans half the length of the building. So, diameter of the tank is 10m and radius is 5m. So volume of the structure = volume of cuboid (building) + volume of cylinder(tank) = (20×10×20)+(π×(5)2×5) = 4000+125π

A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is $20 m \times 10 m \times 20 m$ and the height of the tank is 5m.