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Artemon [7]
3 years ago
6

Need help a s a p HURRYYYYY

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Step-by-step explanation:

v= 4/3πr³

4/3×314/100×8×8×8

•

= 2,143.573

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An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumferen
Andreas93 [3]

Answer:

The <em>volume</em> of the cone-shaped sculpture is equal to 114.631 ft³.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Geometry</u>

Circumference Formula:
\displaystyle C = 2 \pi r

  • <em>r</em> is radius

Volume Formula [Cone]:
\displaystyle V = \frac{\pi r^2 h}{3}

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given</em>.

<em>h</em> = 8 ft

<em>C</em> = 23.236 ft

<u>Step 2: Find Radius </u><u><em>r</em></u>

  1. [Circumference Formula] Substitute in variables:
    \displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\\end{aligned}
  2. Solve [Equality Properties]:
    \displaystyle \begin{aligned}C = 2 \pi r & \rightarrow 23.236 \ \text{ft} = 2(3.14)r \\& \rightarrow r = 3.7 \ \text{ft} \\\end{aligned}

<u>Step 3: Find Volume</u>

  1. [Volume Formula - Cone] Substitute in variables:
    \displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\\end{aligned}
  2. Evaluate:
    \displaystyle \begin{aligned}V = \frac{\pi r^2 h}{3} & \rightarrow V = \frac{(3.14)(3.7 \ \text{ft})^2(8 \ \text{ft})}{3} \\& \rightarrow V = \boxed{ 114.631 \ \text{ft}^3 } \\\end{aligned}

∴ the <em>volume </em>of the artist-created sculpture is 114.631 ft³.

---

Learn more about Geometry: brainly.com/question/27732359

---

Topic: Geometry

6 0
2 years ago
Which of the following statements are true about the graph. check all that apply?
oee [108]

Answer:

Statement 1

The graph has a minimum.

This statement is true. The graph has a minimum at x = -1 that is f(-1) = -9.

Statement 2

The graph has a maximum.

The statement is false. As there is no downward curve nor a rigid endpoint but the graph is continuous in upward direction.

Statement 3

The graph has zeros of -4 and 2.

The statement is true because f(-4) = 0 and f(2) = 0.

Statement 4

The vertex is located at (-1, -9).

The statement is true as apparent in the graph.

Statement 5

The solution of the quadratic function represented by the graph is (-1, -9).

The statement is false. Solution of the graph is at the point where f(x) becomes zero. At (-1,-9), f(x) = -9. Hence solution is not at point (-1,-9).

Statement 6

The y-intercept of the graph is (0, -8).

The statement is true. y-intercept of a graph is where the graph intercept the y-axis which means x = 0. As x = 0 at (0, -8), it is the y-intercept of the graph.

8 0
3 years ago
Ken paid 412 for two magazines. The cost of each magazine was multiple of 43. What are the possible prices of the magazines
andrew11 [14]
I'm guessing you mean magazines as in bullets. Well, if he paid $412 dollars for two, and each were sold as a multiple of 43. Then each bullet was $4.79.

You find this by dividing 412 by 2 which gives you $206.

Now divide that by 43. Which is $4.79 (.ea) bullet.
5 0
3 years ago
Read 2 more answers
What is the diameter of this circle if the circumference is 30 x inches?
ch4aika [34]

Answer:

<h2>10 inches</h2>

Step-by-step explanation:

Given the circumference= 30 in

we know that the formula for circumference is

C= 2\pi r

30= 2*3.142*r\\\\r= \frac{30}{2*3.142} \\\r= \frac{30}{6.248}\\\r= 4.77 in

The diameter is 2*r= 4.77*2=9.55 in

Approximately the diameter is 10 inches

7 0
3 years ago
Your help would be appreciated
Schach [20]

Answer:

I think its the 1st one, but I'm not sure

8 0
3 years ago
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