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zloy xaker [14]
3 years ago
5

Q # # 12 find the volume of the cylinder to the nearest cubic foot Use a calculator

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
8 0
To solve this problem you must apply the formula for calculate the volume of a cylinder, which is shown below: 
 V=πr^2h
 where r is the radius and h is the height of the cylinder
 You have that r is 5 ft and h is 3 ft, therefore:
 V=π(5 ft)^2(3 ft)
 V=236 ft^3

The answer is 236 ft^3
Ronch [10]3 years ago
4 0
The diagram in the question is a cylinder.
;The volume of a cylinder is given by;

Volume = πr²h
;Where π=3.14
             r⇒radius of the base of the cylinder and
             h ⇒ height of the cylinder.

∴Volume = 3.14×5²×3
               =235.5 ft³

To the nearest cubic = 236 ft³

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a) Distance between Aranville t o Bowtown = 24 miless

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.
irina [24]

Answer: the distance is  3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is  (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos(  -(23/36)*pi ) = -2.11

y = 5*sin(  -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) =  3.49

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3 years ago
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