https://file.aiquickdraw.com/mathbot/file/1727437929231vswxttga.jpg

The problem involves calculating the cost of concrete for a cylindrical pillar. Let's solve it step-by-step:

1. **Volume of the cylinder**:  
   The volume $ V $ of a cylinder is given by the formula:
   \[
   V = \pi r^2 h
   \]
   Where:
   - $ \pi = 3.14 $
   - $ r $ is the radius of the cylinder (3 meters)
   - $ h $ is the height of the cylinder (6 meters)

2. **Cost Calculation**:  
   The cost is based on the volume of concrete required. The cost per cubic meter is \$89.

Let’s compute the volume and then find the total cost.The total cost for the concrete needed to fill the cylindrical pillar is **$15,090.84**.

Would you like further details or explanations? Here are some related questions to deepen your understanding:

1. How would the cost change if the radius of the cylinder were doubled?
2. What would the volume of the cylinder be if the height was 10 meters instead of 6 meters?
3. How does the volume of a cylinder change when only the height is doubled?
4. How is the formula for the volume of a cylinder derived?
5. Can this formula be applied to other shapes, such as cones or spheres?

**Tip**: Always ensure the units match when calculating volume and cost-related problems.

A concrete pillar has the shape of a cylinder. It has a radius of 3 meters and a height of 6 meters. If concrete costs $89 per cubic meter, how much did the concrete cost for the pillar? Use 3.14 for π, and do not round your answer.

Learn how to calculate the volume of a cylindrical pillar and determine the cost of concrete. The pillar has a radius of 3 meters, height of 6 meters, and concrete costs $89 per cubic meter. This problem involves geometry and cost calculation, ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation