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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 20 feet and a height of 16 feet. Container B has a diameter of 18 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Respuesta :

rvkacademic

Answer:

446.1  feet³

Step-by-step explanation:

Volume of a cylinder with radius r and height h is V = πr²h

Radius r = diameter/2

Radius of cylinder A = 20/2 = 10 feet
Height of Cylinder A = 16 feet

Radius of cylinder B= 18/2 = 8 feet
Height of Cylinder B = 18 feet

Volume of cylinder A = π x 10² x 16 =  π x 100 x 16 = 1600π feet³

Volume of cylinder B = π x 9² x 18=  π x 81 x 18 = 1458π feet³

So after pumping water from A to B to fill B we are left with
1600π - 1458π = 142π feet³ = 446.1  feet³ to the nearest tenth

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