Answer:
(A) 125 scoops
(B) 31 scoops
Step-by-step explanation:
The volume of a cup in terms of radius and height is ...
V = (1/3)πr²h
The radius is half the diameter, so the volume in terms of diameter is ...
V = (1/3)π(d/2)²h = (π/12)d²h
The number of cups it takes to empty the sink will be the sink volume divided by the cup volume, so will be ...
n = (4000π/3)/((π/12)d²h)
n = 16000/(d²h)
__
(A) The number of cups required of diameter 4 and height 8 is ...
n = 16000/(4²·8) = 125
125 scoops are required to empty the sink
__
(B) The number of cups required of diameter 8 and height 8 is ...
n = 16000/(8²·8) = 31.25 ≈ 31
31 scoops are required to empty the sink
Water that weighs 325 lbs will fill 5.2 cubic feet.
Step-by-step explanation:
This is a simple question of cross multiplication
<u>DATA:</u>
<em>1. The weight of water for 1 cubic feet is 62.5</em>
<em>2. The weight of water for 'X' cubic feet is 325 </em>
<em>3. To find x, form an equation:</em>
Cubic feet : Weight of water
1 : 62.5
X : 325
<em>4. Cross multiply</em>
X x 62.5 = 1 x 325
62.5X = 325
<em>5. Make X the subject</em>
X = 
<em>6. Solve to find X</em>
X = 5.2 cubic feet
Therefore, water that weighs 325 lbs will fill 5.2 cubic feet.
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Answer: 7.2
Step-by-step explanation: the some of all angles should equal 180
yes sure, i learned this before so
1. a. make a proportion here, of percentage.
if you cross multiply and divide you get 90%.
1. b. obviously the empty seats would be 10%.
2. a. proportion again,
cross multiply then divide you ge 15%
3. 30% in decimal form is 0.3. multiply it then to the total amount, so 0.3 x 15 = 4.5