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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 19 feet. Container B has a diameter of 14 feet and a height of 13 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of the empty space inside Container A, to the nearest tenth of a cubic foot?

Respuesta :

The free space inside the container A will be 1147.72 ft³.

What is volume of a cylinder? What is equation modelling? What is a mathematical equation and expression?

  • The volume of the cylinder is equivalent to -

        V{C} = πr²h = π(d/2)²h

  • Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions.

Given are two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 19 feet. Container B has a diameter of 14 feet and a height of 13 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.

Volume of container A -

V{A} = (22/7) x (12/2)² x 19

V{A} = (22/7) x 6 x 6 x 19

V{A} = 3149.72 ft³

Volume of container B -

V{A} = (22/7) x (14/2)² x 13

V{A} = (22/7) x 7 x 7 x 13

V{A} = 2002 ft³

Empty space = 3149.72 ft³ -  2002 ft³ = 1147.72 ft³

Therefore, the free space inside the container A will be 1147.72 ft³.

To solve more questions on cylinders, visit the link below -

https://brainly.com/question/16134180

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