Answer:
11.28 ft
Step-by-step explanation:
The volume of a cylinder can be written as;
Volume V1 = πr^2 h
The volume of an hemisphere can be written as;
Volume V2 = (2/3)πr^3
The total volume of the silo is;
V = V1 + V2
V = πr^2 h + (2/3)πr^3
Given;
Volume of silo V= 15000 ft^3
Height of cylinder part h = 30 ft
Substituting the values;
V = πr^2 h + (2/3)πr^3
15000 = 30πr^2 + (2/3)πr^3
15000/π = 30r^2 + (2/3)r^3
2r^3 + 90r^2 - (15000×3/π) = 0
Solving the equation, we have;
r = 11.28 ft or -15.61 ft or -40.67 ft
Since the radius cannot be negative;
Radius r = 11.28 ft
Answer: 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Explanation:
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Note: "h" = time in "hour(s)" ;
"cm" = length in "centimeter(s)" ;
"min" = time in "minute(s)";
"m" = length in "meter(s)"
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Note these EXACT conversions:
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100 cm = 1 m ;
60 min = 1 h ;
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To solve:
Given: 17 cm / min ; convert to: ________ m / h
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(17 cm / min)* (1 m /100cm) * (60 min / 1 h) = _______ m / h
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The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}.
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We are left with (17 *1 m * 60) / (100 * 1 h) = [(17 * 60) m] / [100 h]
= [(17 *60) / 100 ] meters per hour.
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To simply: (17 * 60) / 100 ;
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Method 1): To simplify: (17 * 60) / 100 ;
→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ;
→Cancel out the "20's "; and rewrite as:
→ (17*60) / 100 = (17*3)/5 = 51/5
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 2) To simplify: (17 * 60) / 100 ; Use calculator (or by hand):
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→ (17 * 60) / 100 = 1,020 /100
= 10.2 meters per hour; or, write as: 10 ⅕ meters per hour.
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Method 3) To simplify: (17 * 60) / 100 ;
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→ (17 * 60) / 100 = ? ;
→ Divide BOTH the "100" AND the "60" by "10";
→ 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ;
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→ (17*60)/100 = (17*6)/10 = 102/10
= 10.2 meters per hours; or, write as: 10 ⅕ meters per hour.
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227:13, that’s it in its simplest form.
The correct answer for this question is this one: "<span>y = -x + 2"</span>
<span> y - intercept = (0,2) slope = -1
y = mx + b
2 = -1 (0) + b
b = 2
so the equation of the line is
<u>y = -x + 2</u></span>
Hope this helps answer your question and have a nice day ahead.
Answer:
You earn more per hour and you would get $127.50
Step-by-step explanation:
You can find how much money you get per hour by dividing! 102 divided by 12 is 8.5 and 120 divided by 15 is 8 so you get more!
