Question

John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in?. One

Answer 1

Answer:

Anthony must scoop out of the sink 85 cups of water to empty it

Step-by-step explanation:

The formula of the volume of a sphere is $V=\frac{4}{3}\pi r^{3}$ , where r is its radius

The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height

∵ The sink is shaped like a half-sphere

∵ The sink has a volume of 1072 in³

∵ One cup has a diameter of 2 in

- The radius is half the diameter

∴ The radius of the cup = $\frac{1}{2}$ × 2 = 1 in.

∵ The height of the cup is 4 in

- Find the volume of the cup using the 2nd formula above

∴ V = π(1)²(4) = 4π in³

To find the number of cups that Anthony use to scoop out of the sink to empty it divide the volume of the sink by the volume of the cup

∵ The volume of the sink = 1072 in³

∵ The volume of the cup = 4π in³

∴ The number of the cups = 1072 ÷ 4π

∴ The number of the cups = 85.3070495

- Round it to the nearest whole number

∴ The number of cups is 85

Anthony must scoop out of the sink 85 cups of water to empty it