Math Problem Statement
Solution
The image shows a cylindrical water container with dimensions provided in centimeters. To calculate the volume (isi padu) of the cylinder, we use the formula for the volume of a cylinder:
Where:
- (as specified in the question),
- is the radius of the base of the cylinder,
- is the height of the cylinder.
From the image:
- The diameter of the base is 42 cm, so the radius is half of that, i.e., cm.
- The height is given as 40 cm.
Now, let's calculate the volume.The volume of the cylindrical water container is 55,440 cubic centimeters (cm³).
Would you like any further details or clarifications? Here are 5 related questions to explore further:
- How would the volume change if the height of the cylinder increased by 10 cm?
- How can you convert the volume from cubic centimeters to liters?
- What would be the effect on the volume if the radius were increased by 5 cm?
- How does the approximation affect the result compared to using ?
- How can you calculate the surface area of this cylindrical container?
Tip: To convert cubic centimeters (cm³) to liters, remember that 1 liter = 1,000 cm³.
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Cylinders
Formulas
V = πr^2h (volume of a cylinder)
Theorems
-
Suitable Grade Level
Grades 7-9
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