Question

Need help with this ASAP!! Will award brainliest to answer with steps!! Anthony has a sink that is shaped like a half-sphere. The sink is 660pi in.^3. One day his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when he begins scooping.

Answer 1

Answer:

part a) 13 scoops

part b) 3 scoops

Step-by-step explanation:

1) so we know that the volume of the sink is 660pi in^3

we have to divide this with the volume of each cup to find out the number of scoops it takes to get all the water out.

since we are dividing, I don't like leaving answers in terms of pi so

660*pi= 2073.45115137

formula for volume of cylinder(diameter) $pi(\frac{d}{2} )^2 h$

pi*(5/2)^2*h=157.079632679

so

2073.45115137/157.079632679= 13.2 - for cup 1

for cup 2:

pi*(10/2)^2*8= 628.318530718

so

2073.45115137/628.318530718= 3.3- for cup 2

Hope this helps!