All categories

2 years ago

Electric utility poles in the form of right cylinders are made out of wood that costs

Mathematics

1 answer:

olga_2 [115]2 years ago

5 0

The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>

The given parameters are:

Cost per cubic foot = $11.07 per cubic foot

Height = 40 feet

Diameter = 1.5 feet

Shape = Cylinder

The volume of the cylinder is calculated as:

V = πr^2h

Where

r = Diameter/2

So, we have

r = 1.5/2

Evaluate

r = 0.75

The volume of the cylinder becomes

V = 3.14 * 0.75^2 * 40

Evaluate

V = 70.65

The cost per cubic foot is $11.07 per cubic foot.

So, the cost of a utility pole is

Cost = $11.07 * 70.65

Evaluate

Cost = $782.1

Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1

You might be interested in

Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

4 0

3 years ago

PLEASE HELP

valina [46]

Answer:

each side of the patio measures ft.

5 0

2 years ago

Read 2 more answers

MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!

antoniya [11.8K]

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

7 0

3 years ago

Dario increased his savings from $350 to $413. What is Dario's percent increase in<br> savings?

Nady [450]

Answer:

18%

Step-by-step explanation:

413-350=63%

(63/350)*100=18%

7 0

3 years ago

(6^-2·6^5)^-3 can't figure out the answer

deff fn [24]

The answer is 0.000000099.

Hope this helps! :D

6 0

4 years ago