Answer:
81πinc^3
Step-by-step explanation:
Volume of glass = π(3)^2(12) = 108πin^3
Volume of water in glass = π(3)^2(3) = 27πin^3
Volume needed to fill completely = 108π - 27π = 81π^3
Topic: Mensuration
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1 gallon cost $15
1 quarts cost $4
1 quarts = 1/4 gallon
15x for number of gallon cans
2 cans at $4 each = $8
15x + 8 = 53
Subtract 8 from both sides:
15x = 53-8
15x = 45
Divide both sides by 15:
x = 45/15
x = 3
She bought 3 gallon cans of paint
Plus she bought 2 quart cans, which is equal to a half gallon.
She bought a total of 3.5 gallons of paint.
Answer:
The length of arc PQ is 8.1 inches.
Step-by-step explanation:
First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :
Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :
Answer:2.78×10^2
Step-by-step explanation:
22+52+424-220
=278
In standard form
=2.78×10^2
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
