Math Problem Statement
A can of beans has a height of 12 cm and a diameter of 7.6 cm. If you were to use the label that surrounds the can for advertising, how much surface area would you have to advertise on?
Solution
To find the surface area of the label that surrounds the can of beans, we need to calculate the lateral surface area of the cylinder.
Given:
- Height of the can
- Diameter of the can
First, we find the radius of the can:
The lateral surface area of a cylinder is given by the formula:
Substitute the given values:
Perform the multiplication:
Using the value of :
Therefore, the surface area available for advertising on the label is approximately .
Would you like any further details or have any questions?
Here are 5 questions you can ask:
- How do you calculate the volume of a cone?
- What is the formula for the surface area of a sphere?
- How do you solve systems of linear equations?
- Can you explain the concept of limits in calculus?
- How do you find the area of a trapezoid?
Tip: Always double-check the units and conversion factors when performing calculations to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Cylinders
Formulas
Surface area of a cylinder: A = 2πrh
Theorems
-
Suitable Grade Level
Grades 7-9
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