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Lesechka [4]
3 years ago
10

What is the exact volume of the cylinder?

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr²h.  

Here, r = 5cm, and h = 15 cm, and so the volume is:

V = πr²h = π(5 cm)²(15 cm), or:

V = π(25 cm²)(15 cm) = 375π cm³, or approximately 1170 cm³

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Y=mx+b

Y1-Y2/X1-X2

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Plug in (3,10):
(10)=2(3)+b

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6 0
3 years ago
1) A rectangular storage container with an open top is to have a volume of 15 m 3 . The length of its base is four times the wid
My name is Ann [436]

9514 1404 393

Answer:

  a) V = 4w²h

  b) SA = 4w² +10wh

  c) SA = 4w² +37.5/w

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Step-by-step explanation:

The relevant formulas are ...

  V = LWH

  base area = LW

  lateral area = H(2(L+W))

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a) The length is 4 times the width, so the volume is ...

  V = (4w)(w)(h)

  V = 4w²h

__

b) The total surface area is the sum of the base area and the lateral area:

  SA = base area + lateral area

  SA = (4w)(w) + 2h(4w +w)

  SA = 4w² +10wh

__

c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...

  15 = 4w²h

  h = 15/(4w²)

Then the surface area is ...

  SA = 4w² +10w(15/(4w²))

  SA = 4w² +37.5/w

__

d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:

  C = 10(4w²) +6(37.5/w)

  C = 40w² +225/w

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3 years ago
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Step-by-step explanation:

5x-6+7x+18=180

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12x=168

168÷12=14

X=14

for y

3y+11=7x+18(7×14+18)

3y+11=116

3y=116-11

3y=105

y= 35

5 0
3 years ago
If the speed limit of a highway is 60 mph, which car exceeded the speed limit? Assume all the cars were traveling at a constant
JulsSmile [24]
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7 0
3 years ago
Read 2 more answers
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