A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.50 percubic yard. What is the total value of the liquid in the tank? Use 3.14 for
$1695.60
$6782.40
$904.32
$565.20
Answers
The solution is Option B.
The total cost of the liquid in the spherical tank is $ 6782.40
What is a Sphere?
A sphere has a spherical, symmetrical shape. It is a three-dimensional solid with equal distances between each surface point and the center. On the basis of its radius, it has a surface area and a volume. There are no faces, corners, or edges on it.
The volume of a sphere is given by the formula
Volume of Sphere = ( 4/3 )πr³
where r is the radius of the sphere
Given data ,
Let the total cost of the liquid in the spherical tank be = A
Let the radius of the spherical tank be = R
The value of R = 6 yards
Now the cost of the liquid in the tank per cubic yard = $ 7.50
And ,
The volume of spherical tank = ( 4/3 )πR³
Substituting the values in the equation , we get
The volume of spherical tank = ( 4/3 ) x 3.14 x ( 6 )³
The volume of spherical tank = 25.12 x 6 x 6 x 6
The volume of spherical tank = 904.32 yards³
Now ,
The total cost of the liquid inside the spherical tank A = cost of the liquid in the tank per cubic yard x volume of spherical tank
Substituting the values in the equation , we get
The total cost of the liquid inside the spherical tank A = 7.50 x 904.32
The total cost of the liquid inside the spherical tank A = $ 6782.40
Therefore , the value of A is $ 6782.40
Hence , the volume of sphere is 904.32 yards³ and the cost of the liquid inside the tank is $ 6782.40
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Related Questions
Heather won 62 pieces of candy after bobbing apples at a Halloween party. She gave 4 pieces of candy to every student in her math class. She has six pieces of candy left. How many students are in Heather’s math class?
N f(x) = 2x , x=5. What is the value of the function?
Find all possible values for A, B and C+ABABAB-----------CCCEach letter represents a single digit from 9 to 0
H(t) = 50 - t/hh(35) =
Answers
Answer:
3.15
Step-by-step explanation:
15.75 divided by 5 gets you 3.15
A square has a side length of 2x+1. If the perimeter is 28, what is x?
Answers
bearing in mind that a square has 4 equal sides, and the perimeter is the sum of all sides.
Answers
Answer:
A.)359.2, B.)2.5 uf
Step-by-step explanation:
E / I = R
208 / 1.04 = 200 ohms
2*pi*f*L = Xl
6.28*400*.143 = 359.2 ohm
1 / (2*pi*f*Xc) = c
1 /(6.28*400*159.2) = 2.5 uf
Final answer:
The question asked for the value of capacitance that causes the current in an AC circuit to lag or lead. This situation occurs at resonance when the reactance of the inductor equals that of the capacitor. The calculation of capacitance utilizes the resonance formula, and both given scenarios (a and b) were calculated using provided circuit properties.
Explanation:
The subject of this question involves the principles of alternating current (AC) circuits which includes concepts of inductance, capacitance, and impedance. Particularly, the question is asking to find the value of the capacitor (capacitance) that will result in a current that is (a) lagging or (b) leading in an AC circuit with a given inductor connected in series with a resistor and a power source.
Resonance in AC circuits
When the reactance of the inductor, L, equals the reactance of the capacitor, C, the circuit attains a state called resonance. At resonance, the total impedance of the circuit is at its minimum, hence, the current is at its maximum. This happens when the current leads or lags the voltage.
Solving the problem
To calculate the capacitance value, we can utilize the formula for resonance which is given by:
f = 1/(2π√(LC))
Solving for C, we get:
C = 1/(4π²f²L)
Substituting the given values (f = 400 Hz, L = 0.143 H) Into the formula, we calculate for C for both (a) and (b) scenarios.
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Please and explication
Answers
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Suppose Tetha = alpha = 26°
Then ;
Multiply sides by x
Divide sides by 0.487
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Answers
Answer:
Quadrant II
Step-by-step explanation:
Below will be a picture provided to show you which quadrants are in a coordinate grid.
To graph (-4, 1) we will start at the origin, go 4 units to the left and 1 unit up.
As you can see in the image, it will be plotted in quadrant 2.
Best of Luck!
Answer:
quadrant II or 2
Step-by-step explanation:
I'm not sure if your teacher wants in Roman Numerals or not.
in quadrant II/2 x is negative (on the left side of the y-axis) and y is positive (above the x-axis)
Answers
Answer:
boys = 272
Step-by-step explanation:
b = boys
g = girls
1) write two equations with the given informations:
g + b = 650
g = b + 106
2) substitute the value of g in the first equation:
b + 106 + b = 650
3) solve the equation for b
2b = 544
b = 272
4) substitute the value in the second equation
g = 272 + 106
g = 378
girls = 378
boys = 272