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stepan [7]
3 years ago
10

A culvert is constructed out of large cylindrical shells cast in concrete, as shown in the figure. Using the formula for the vol

ume of a cylinder given on the inside back cover of this book, explain why the volume of the cylindrical shell is V = πR2h − πr2h. Factor to show that V = 2π · average radius · height · thickness Since average radius = Incorrect: Your answer is incorrect. , height = h, and thickness = Incorrect: Your answer is incorrect. , we see the following. V = πR2h − πr2h = 2πh 2 = 2πh(R − r) 2 = 2π · 2 · h · R − r = 2π · average radius · height

Mathematics
1 answer:
olganol [36]3 years ago
3 0
A cylindrical shell has a hollow part that is found inside a cylinder. Because the inside part is hollow, you don't account that as part of the total volume. If you look at the picture attached, the hollow part is the red area. We only account for the yellow area because that is the volume of concrete. Hence, the volume is difference of the outer volume to the inner volume.

Volume of Cylindrical Shell = Volume of Outside cylinder - Volume of inside cylinder
Since the volume of a cylinder is πr²h,
Volume of Cylindrical Shell = πR²h - πr²h

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Sylvanite is a mineral that contains 28.0% gold by mass. Determine how much sylvanite would you need to dig up to obtain 81.0 g
lidiya [134]
Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:

0.28X = 81

X = 81/0.28
X = 289.29 grams

Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
3 0
3 years ago
If f(x)= –2x+3 then f(3) – f(4)=
arsen [322]

Answer:

2

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

4 0
2 years ago
Read 2 more answers
Madeline invested $51,000 in an account paying interest rate of 6 1/8% compounded daily. Harper invested 51000 in an account pay
LenaWriter [7]

Answer:

$5564.87

Step-by-step explanation:

We are to determine the difference between the future values of each investment

The formula for calculating future value:

FV = P (1 + r)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Madeline

P = Present value = 51,000

R = interest rate = 0.06125 / 365 = 0.000168

N = number of years = 13

m = number of compounding = 365

51,000 x (1.000168)^4745  = 113,070.20

Harper

51,000 x (1.004792)^156 = 107,505.33

Difference = 113,070.20 - 107,505.33 = $5,564.87

6 0
2 years ago
Read 2 more answers
Find the distance between (2,7) and (-6,-2)
stepladder [879]

Answer: \sqrt{145}

Step-by-step explanation:

1. use the distance formula!

distance = \sqrt{(x_{2} - x_{1})^{2}  +{(y_{2} - y_{1})}^2

2. then using the distance formula with (2, 7) and (-6, -2) you get...

distance= \sqrt{2 -(-6)^2 +(7 - (-2)^2}

distance= \sqrt{8^2 +9^2}

distance=  \sqrt{64 +81}

distance= \sqrt{145}

\sqrt{145} is the simplest radical form

:D

6 0
3 years ago
PLZ HELP ME!!!!!!!!!!!!
Softa [21]

5.50 x 3.87 equals 21.285. 21.285 rounded to the nearest cent is $21 dollars and 3 cents.

4 0
2 years ago
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