Math Problem Statement

Given the geometry-related problems and solutions shown in the uploaded image, verify the calculations and clarify key concepts, including surface area and volume formulas for various shapes.

Solution

It seems you've uploaded an image containing some geometry-related questions and solutions. Would you like me to:

  1. Verify and explain the solutions provided?
  2. Solve any of the questions in more detail?
  3. Provide additional related examples or concepts for further understanding?
  4. Identify any potential errors in the solutions?
  5. Clarify specific topics such as surface area, volume, or related formulas?

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume and Surface Area
Prism and Pyramid Calculations

Formulas

Volume of a prism: V = l × w × h
Volume of a cone: V = (1/3) × π × r² × h
Volume of a sphere: V = (4/3) × π × r³
Surface area of a closed cylinder: A = 2πr² + 2πrh

Theorems

Basic geometric volume and surface area principles

Suitable Grade Level

Grades 6-9