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3 years ago

The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank?

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

Answer:

The volume of the cylinder is 2520.64ft³

Step-by-step explanation:

To calculate the volume of a cylinder we have to use the following formula:

v = volume

h = height = 19ft

π = 3.14

r = radius = 6.5ft

v = (π * r²) * h

we replace with the known values

v = (3.14 * (6.5ft )²) * 19ft

v = (3.14 * 42.25ft²) * 19ft

v = 132.665ft² * 19ft

v = 2520.64ft³

The volume of the cylinder is 2520.64ft³

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Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s

ozzi

Answer:

$10.9\ \text{m/s}^2$

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

$\mu$ = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

$F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2$

La aceleración del bloque es $10.9\ \text{m/s}^2$ .

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2 years ago

A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are

amid [387]

Answer:

Step-by-step explanation:

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5 0

2 years ago

4x + 2y = 8 16x - y = 14

lys-0071 [83]

Equation 1) 4x + 2y = 8
Equation 2) 16x - y = 14

Multiply all of equation 2 by 2.

2) 2(16x - y = 14)

2) 32x - 2y = 28
1) 4x + 2y = 8

Add equations together.

36x = 36

Divide both sides by 36.

x = 1

Plug in 1 for x in the first equation.

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

Subtract 4 from both sides.

2y = 8 - 4

2y = 4

Divide both sides by 2.

y = 4/2

y = 2

So, x = 1, y = 2

~Hope I helped!~

7 0

3 years ago

A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in kilometers per hour? How many kilometers will th

Sonja [21]

Well, if 1 mile = 1.6 kilometers and he's traveling at 18mph, then do 18 x 1.6 which = 28.8.

So, this is his current speed in kph

3 x 28.8 = 86.4‬

They will have traveled 86.4‬ kilometers

(I haven't worked with this kind of math in a while so correct me if I'm wrong!)

4 0

2 years ago

A kite flying in the air has a 12 line attached to it. Its line is pulled taut and casts a 9 shadow. Find the height of the kite

alexira [117]

Answer:

8 (7.94)

Step-by-step explanation:

You can think of it as a geometry problem.

What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).

What you need to find is the height. We will call it H.

As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:

H^2 + 9^2 = 12^2

H^2 + 81= 144

H^2 = 63

Applying squared root in both sides

H = √63

H = 7,94

So, the height is approximately 8.

4 0

3 years ago