MA7-WEEK25-VOLUME OF CYLINDERS: FILL IT UP

Objectives

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Volume of Cylinders: Fill It Up

Volume Formula

Right Circular Cylinders

Video

Real-World Applications

Steps to Calculate Volume

Understanding Right Circular Cylinders

Definition: A right circular cylinder is a three-dimensional figure with two parallel circular bases and a curved surface connecting the bases.

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Volume Formula for Cylinders

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Volume Formula

Volume Formula for Cylinders

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Steps to Calculate Volume

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Apply Formula

Identify Dimensions

Convert Units

Steps to Calculate Volume

Steps

Example Calculation

A cylinder with radius 4 cm and height 7 cm, calculate the volume.

Applying the formula

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Video

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Volume Formula for Cylinders

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Real-World Applications

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Real-World Applications

Example 2

Example 1

Real-World Applications

Determine the cost based on volume.

STEPS:

2. Determine the cost based on volume.

1. Calculate the volume of the tank:

Example 3

You need to fill a cylindrical tank with a height of 12 meters and a radius of 6 meters with a liquid. If each cubic meter of the liquid costs $5, what is the total cost to fill the tank?

Cost: (5 dollars)x(1357.17) = 6785.84 dollars

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FlipCard Quiz

1/5

What is the formula used to calculate the volume of a right circular cylinder?

2/5

If a cylindrical tank has a radius of 5 meters and a height of 10 meters, what is its volume?

3/5

How does the volume of a right circular cylinder change if the height is doubled while keeping the radius constant?

4/5

You have a cylindrical can with a height of 12 cm and a diameter of 6 cm. What is the volume of the can?

5/5

A cylindrical water bottle has a height of 25 cm and a radius of 4 cm. What is the volume of the bottle?

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7TH-VOLUME OF CYLINDERS: FILL IT UP-EN © 2024 by CASURID is licensed under CC BY-NC-ND 4.0

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.

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.

Properties:

Convert Units: Ensure all measurements are in consistent units for accurate calculation.

A cylindrical can has a height of 20 cm and a radius of 5 cm. Find the volume of the can.

Example 2

Solution

Volume:

Identify Dimensions: Measure the radius and height of the cylinder.​

A cylindrical tank has a height of 15 meters and a diameter of 8 meters. How much water can it hold?​

Example 1

Solution

Radius: r=8/2=4 meters Volume

Base Area: Height: h

Components: