Answer:
B. 3408π units³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cone Formula: ![\displaystyle V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
Radius <em>r</em> = 12
Height <em>h</em> = 71
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Cone Formula]:
![\displaystyle V = \frac{1}{3} \pi (12)^2(71)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%2812%29%5E2%2871%29)
- Evaluate exponents:
![\displaystyle V = \frac{1}{3} \pi (144)(71)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%28144%29%2871%29)
- Multiply:
![\displaystyle V = \frac{1}{3} \pi (10224)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%2810224%29)
- Multiply:
![\displaystyle V = 3408 \pi](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%203408%20%5Cpi)
Answer:
A
Step-by-step explanation:
The horizontal side is 8 units long. By Pythagorean, the equal side lengths are 5, so 5 + 5 + 8 = 18.
Answer:
Step-by-step explanation:
9^2 + 15^2 = x^2
81 + 225 = x
17.49 = x
Rounded to the nearest tenth:
<u>x = 17.5</u>
Her total bill is $186 because :
(3x39)+15+(2x27)