All categories

3 years ago

A railway tunnel 147m long is to be bored with a circular cross section of radius 5m.what volume of soil has to be excavated?

1 answer:

8 0

We have to find the volume of the cylinder, where: r = 5 m and h = 147 m.
V = r² h π
V = 5² · 147 · 3.14 = 25 · 147 · 3.14 = 11,539.5 m³
Answer:
11,539.5 m³ of soil has to be excavated.

You might be interested in

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

2 years ago

The area of a rectangular-shaped garden can be no more than 64 square feet. If the length of the garden is 16 feet, what could b

Klio2033 [76]

Answer:

4 square feet

Step-by-step explanation:

Area = Length * Width

64 = 16 * W.

W = 4.

So, 4 square feet.

Mark me as Brainliest if this is correct! I really appreciate it! :D

8 0

2 years ago

Cause I lowkey suck at math How do I do this

dimaraw [331]

1. The slope is -2/5 not 3-/10

5 0

3 years ago

Chicago

Soloha48 [4]

Desert Shores is below the sea level and the difference is more than 600 feet

4 0

2 years ago

15 points PLEASE HELP!!!<br><br> Factor the following equation:<br> <img src="https://tex.z-dn.net/?f=x%5E2%2B3x%2B4" id="TexFor

ycow [4]

Step-by-step explanation:

x²+3x+4=0

x²+3x_ +2=0

x²+3x_2=-2

x²+3x_2+(3x_4)²=-2+(3/4)²

(x+3/4) =-2+9_16

x+3_4 = -32+9__16 =√-23_6

x+3_4 =-√23_4

x = -3+√-23___4

x = -3- √-23___4 , -3+√-23___4 //

Mark my answer as branlist answer

follow me on my another account "sarivigakarthi"

5 0

2 years ago