Question

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a
radius of 5 feet and a height of 20 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
To the nearest tenth, what is the percent of Container A that is empty after the
pumping is complete?
Container A
play
Container B
T-5

Answer 1

Answer:

61.7% of container A is empty after the pumping is complete.

Step-by-step explanation:

The volume of a cylinder is calculated by the formula B×h, where B is the area of the base, or radius²×π.

The volume of cylinder A is 9²×π×10=810π.

The volume of cylinder B is 5²×π×20=500π.

The percent that will be used to fill container B is the complete volume of B out of A: $\frac{500}{810}$ ≈.61728395 which is 61.7% rounded to the nearest tenth.