Geometry worksheet for calculating volume and surface area of various 3D shapes.

It looks like you've uploaded a worksheet titled "Name: Pyramids, Cylinders, Cones, and Spheres Worksheet 2" that contains problems related to finding the volume and surface area of various 3D geometric shapes.

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However, I can still guide you through solving typical problems from such a worksheet.

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🔷 Common Shapes & Formulas

Here are the standard volume and surface area formulas for the shapes typically found in this type of worksheet:

#### 1. Cylinder
- Volume: $ V = \pi r^2 h $
- Surface Area: $ SA = 2\pi r^2 + 2\pi r h $

#### 2. Cone
- Volume: $ V = \frac{1}{3} \pi r^2 h $
- Surface Area: $ SA = \pi r^2 + \pi r l $ (where $ l = \sqrt{r^2 + h^2} $)

#### 3. Sphere
- Volume: $ V = \frac{4}{3} \pi r^3 $
- Surface Area: $ SA = 4\pi r^2 $

#### 4. Pyramid (Square Base)
- Volume: $ V = \frac{1}{3} B h $, where $ B = \text{base area} $
- Surface Area: $ SA = B + \frac{1}{2} P l $, where $ P = \text{perimeter of base}, l = \text{slant height} $

#### 5. Rectangular Prism
- Volume: $ V = l \times w \times h $
- Surface Area: $ SA = 2(lw + lh + wh) $

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📝 Example Problem Walkthrough

Let’s assume one of the problems is:

> Find the volume of a cylinder with radius 5 cm and height 10 cm.

Solution:
$$
V = \pi r^2 h = \pi (5)^2 (10) = \pi \cdot 25 \cdot 10 = 250\pi \approx 785.4 \text{ cm}^3
$$

Answer: $ \boxed{785.4} $ cm³ (or $ \boxed{250\pi} $ if exact form is required)

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If you describe the problems in your worksheet (e.g., "Question 1: A cone has radius 6 and height 8, find volume"), I can solve them step by step and explain.

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