Afish tank, in the shape of a rectangular prism with dimensions 70 centimeters by 44 centimeters by 38 centimeters, is 95% filled with water. a solid log is placed into the tank, sinks to the bottom, and makes water spill out. the log is shaped like a cylinder with a radius of 6 cm and a height of 57 centimeters. how much water spills out of the tank? enter your answer in the box. use 3.14 for pi.

Volume of water which spills out of the tank = 591.28 cm³

Step-by-step explanation:

The dimensions of the rectangular prism shaped fish tank = 70 cm by 44 cm by 38 cm

Volume of the fish tank = 70 × 44 × 38

⇒ Volume of the fish tank = 117040 cm³

Now, The tank is 95% filled

So, The part of the fish tank which is empty = 5% of 117040

⇒ The part of the fish tank which is empty = 0.05 × 117040

⇒ The part of the fish tank which is empty = 5852 cm³

Volume of the cylinder shape wooden log = π × radius² × height

⇒ Volume of the cylinder shape wooden log = 3.14 × 36 × 57

⇒ Volume of the cylinder shape wooden log = 6443.28 cm³

So, Volume of water which spills out of the tank = Volume of the cylindrical log - Volume left to be filled

⇒ Volume of water which spills out of the tank = 6443.28 - 5852

                                                                                 = 591.28 cm³