MA7-WEEK25-VOLUME OF CYLINDERS: FILL IT UP
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Created on August 31, 2024
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Transcript
Volume of Cylinders: Fill It Up
Start
Objectives
Steps to Calculate Volume
Real-World Applications
Video
Right Circular Cylinders
Volume Formula
Definition: A right circular cylinder is a three-dimensional figure with two parallel circular bases and a curved surface connecting the bases.
Understanding Right Circular Cylinders
Volume Formula for Cylinders
Volume Formula for Cylinders
Volume Formula
Steps to Calculate Volume
Steps
Steps to Calculate Volume
Convert Units
Identify Dimensions
Apply Formula
Applying the formula
A cylinder with radius 4 cm and height 7 cm, calculate the volume.
Example Calculation
Video
Volume Formula for Cylinders
Real-World Applications
Example 1
Example 2
Real-World Applications
Example 3
1. Calculate the volume of the tank:
2. Determine the cost based on volume.
STEPS:
Determine the cost based on volume.
Real-World Applications
FlipCard Quiz
Start
What is the formula used to calculate the volume of a right circular cylinder?
1/5
If a cylindrical tank has a radius of 5 meters and a height of 10 meters, what is its volume?
2/5
How does the volume of a right circular cylinder change if the height is doubled while keeping the radius constant?
3/5
You have a cylindrical can with a height of 12 cm and a diameter of 6 cm. What is the volume of the can?
4/5
A cylindrical water bottle has a height of 25 cm and a radius of 4 cm. What is the volume of the bottle?
5/5
End of the quiz!
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7TH-VOLUME OF CYLINDERS: FILL IT UP-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0
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Welcome 6th graders!
Apply Formula: Use to compute the volume.
The volume V of a right circular cylinder is calculated by
MA.7.GR.2 Solve problems involving three-dimensional figures, including right circular cylinders. MA.7.GR.2.3 Solve mathematical and real-world problems involving volume of right circular cylinders. MA.K12.MTR.2.1 Demonstrate understanding by representing problems in multiple ways. MA.K12.MTR.7.1 Apply mathematics to real-world contexts.
Properties:
Radius (r): Radius of the circular bases. Height (h): Distance between the two bases. Bases: Two identical circles at the top and bottom. Visual Aid: Diagram of a right circular cylinder showing radius, height, and bases.
Convert Units: Ensure all measurements are in consistent units for accurate calculation.
Volume:
Solution
Example 2
A cylindrical can has a height of 20 cm and a radius of 5 cm. Find the volume of the can.
Identify Dimensions: Measure the radius and height of the cylinder.
Radius: r=8/2=4 meters Volume
Solution
Example 1
A cylindrical tank has a height of 15 meters and a diameter of 8 meters. How much water can it hold?