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maria [59]
3 years ago
6

A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di

ameter of 2 inches and an inner diameter of 1.8 inches. What is the volume of metal in the conduit in cubic centimeters?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:  586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter =  1.8 inches

⇒Inner radius :r = 0.9 in.  (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm  [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch  = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm   [∵  1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

V=\pi(R^2-r^2)h , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)

V=(3.14)(6.4516-5.225796)(152.4)

V=(3.14)(1.225804)(152.4)

V=586.591342944\approx586.59\ cm^3

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

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If a cylinder has a volume of 54 cubic inches what would be the voulume of a cone with the same radius
Mademuasel [1]

Answer:

a) 16 in³

Step-by-step explanation:

Vol (cyl) = πr²h = 54

Vol (cone) =  πr²h/3

54/3 = 16

6 0
2 years ago
A shirt is originally priced at $24.50 a shirt goes on sale for 30% off the original price how much money to the nearest cent do
Ainat [17]

Answer:

7.86 is the answer

Step-by-step explanation:

30% of 24.50 is 7.35.

7.35+ 7% is 7.86

7.86 to the nearest cent is 7.86

8 0
2 years ago
Evaluate the expression 2b ^3+5 when b=3
pochemuha

Answer:

59

Step-by-step explanation:

b^3 is 27

2(27) is 54

54+5 is 59

if u mean (2b)^3 then 2b is 6

6^3 is 216

plus 5 is 221

3 0
2 years ago
What is the slope of the line with equation y=-x
zmey [24]
The slope intercept form is  y=mx+b
in this case                         y=-x
                                           y=(-1)x + 0
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6 0
3 years ago
A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
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