The 3 would be the y, so it would be 4x-3y
1.
- Cone
2.
- Sphere
3.
- Cylinder
4.
- Pyramid
5.
- Prism
Solution:
1. 
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2. 
Volume of sphere = 
where r is the radius of the sphere.
3. 
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4. 
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5. 
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.
Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
So.. if you notice the picture below
is really just 3/4 of a cylinder, or, a full cylinder, and then you slice 1/4 off of it
notice the right-angle in your picture at the bottom, is cut at a right-angle, meaning, the cutout is 1/4 of the volume
so