I'm working on this question at the moment. It can be done by using Newton's method.
A tank in the shape of a swiss cross is made from steel less than 3 cm thick. All external dimensions are exactly 1 metre. If it takes 4000 litres of fluid to fill the tank to 100 mm from the top, what is the tank's thickness to the nearest one-tenth of a millimetre?
The suggested answer is 2.67 cm, but I keep coming up with 3.27 cm. Have a go, let me know what you get. I've attached the picture of the tank that came with the question.
A tank in the shape of a swiss cross is made from steel less than 3 cm thick. All external dimensions are exactly 1 metre. If it takes 4000 litres of fluid to fill the tank to 100 mm from the top, what is the tank's thickness to the nearest one-tenth of a millimetre?
The suggested answer is 2.67 cm, but I keep coming up with 3.27 cm. Have a go, let me know what you get. I've attached the picture of the tank that came with the question.