Question

Help me asap please! :D

Answer 1

Answer: See each part below:

a) The volume of a sphere is (4/3)pi(r^3). If you input a 10 for the radius of sink, you will get 4000/3(pi). However, we have to divide it by 2 since it is a half-sphere. So the volume is 2000/3(pi).

For each cone, the volume formula is: pi(r^2)h/3.

b) With a radius of 4 and a height of 6, the volume is 100.53. Dividing the volume of the sink by this takes 21 scoops.

c) With a radius of 2 and a height of 6, the volume is 100.53. Dividing the volume of the sink by this takes 84 scoops.

Answer 2

Step 1
Find the volume of a sink
Volume sink=(4/6)*pi*r³ (half-sphere)
Diameter=20 in--------------> r=D/2-----------> r=10 in
Volume sink=(4/6)*pi*10³---------> (2000/3)*pi in³ --------> 2093.33 in³

(a) What is the exact volume of the sink? 
the answer part a) is (2000/3)*pi in³  (2093.33 in³)

(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?

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