Question

Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000

Answer 1

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: $V = \pi r^{2} h$

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ($in^3$).
You're given diameter, so use equation $d/2 = r$ to find radius.
Substituting these equations will give you: $V = \pi (d/2)^2 h$
However, the given volume of the sink is 3000$\pi$, meaning that you should modify your results to match this value. Do not substitute $\pi$ for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 $\pi$
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
$Vsink / V cup =$ # of cups.
Note the the $\pi$ will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.