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
(3a - 2)(4a + 5) = 12a^2 + 15a - 8a -10 = 12a^2 + 7a - 10
Answer: 2/3
Step-by-step explanation:
3(1+2t)=3t+5
3+6t=3t+5
6t-3t=5-3
3t=2
t=2/3
Answer:
1.1kg
Step-by-step explanation:
weight of fruit = 2kg
percentage of weight of fruit = 100%
percentage of weight of pineapple = 25%
weight of pineapple = 25/100 ×2
= 0.5kg
percentage of weight of bananas = 10%
weight of bananas = 10/100 × 2
= 0.2kg
weight of apples = weight of fruit - ( weight of pineapple + weight of bananas)
= 2kg -(0.5 + 0.2)kg
= 2kg -0.7kg
= 1.3kg
The weight of apples than bananas emma bought was =1.3kg-0.2kg
=1.1kg
therefore emma bought 1.1kg of apples than bananas.
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are . Because all part-time college students are also equal to 8.6 million, we have . To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as . Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.