An overhead tank is in the shape of a cylinder (radius 60 cm, height 95 cm). Water is supplied to it from an underground tank, which is in the shape of a cuboid with dimensions 1.57 m x 1.44 m x 95 cm and is initially full. Find the volume of water left in the underground tank after the overhead tank has been completely filled.

To find the volume of water left in the underground tank after the overhead tank has been completely filled, we need to calculate the volume of both tanks and then subtract the volume of the overhead tank from the volume of the underground tank.

First, let's calculate the volume of the overhead tank, which is in the shape of a cylinder. The formula to calculate the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.

Given that the radius of the overhead tank is 60 cm and the height is 95 cm, we can substitute these values into the formula:

V_overhead = π(60 cm)^2(95 cm) = π(3600 cm^2)(95 cm) ≈ 1020600 cm^3

Next, let's calculate the volume of the underground tank, which is in the shape of a cuboid. The formula to calculate the volume of a cuboid is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Given that the dimensions of the underground tank are 1.57 m x 1.44 m x 95 cm, we need to convert the dimensions to the same unit. Since 1 m = 100 cm, we can convert the dimensions as follows:

Length = 1.57 m = 1.57 m x 100 cm/m = 157 cm Width = 1.44 m = 1.44 m x 100 cm/m = 144 cm Height = 95 cm

Now we can substitute these values into the formula:

V_underground = (157 cm)(144 cm)(95 cm) = 2144160 cm^3

Finally, we can find the volume of water left in the underground tank by subtracting the volume of the overhead tank from the volume of the underground tank:

Volume left = V_underground - V_overhead = 2144160 cm^3 - 1020600 cm^3 = 1123560 cm^3

Therefore, the volume of water left in the underground tank after the overhead tank has been completely filled is approximately 1123560 cm^3.