Step 1
Find the volume of <span>a sink
Volume sink=(4/6)*pi*r</span>³ (<span>half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
</span>Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³
<span>(a) What is the exact volume of the sink?
the answer part a) is </span>(2000/3)*pi in³ (2093.33 in³)
<span>(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it?
</span>volume of a conical cup=pi*r²*h/3
diameter=8 in--------------> r=4 in
h=6 in
volume of a conical cup=pi*4²*6/3-----------> 32*pi in³
if one cup---------------------> 32*pi in³
X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(32*pi)------------> 20.83----------> 21 cups
the answer part b) is 21 cups
(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it?
volume of a cylindrical cup=pi*r²*h
diameter=4 in--------------> r=2 in
h=6 in
volume of a cylindrical cup=pi*2²*6-----------> 24*pi in³
if one cup---------------------> 24*pi in³
X---------------------------> (2000/3)*pi in³
X=(2000/3)*pi/(24*pi)------------> 27.77----------> 28 cups
the answer part c) is 28 cups
Answer:
23
Step-by-step explanation:
15+8=23
Answer:
(3,3) (-1,-3), you just have to look at the coordinates
Simple...
you have: 27-9x+15
Add any terms that are the same-->>
-9x+42
Factor-->>>
-3(3x-14)
Thus, your answer.
