MA7-WEEK25-VOLUME OF CYLINDERS: FILL IT UP

Volume of Cylinders: Fill It Up

Objectives

Start

Right Circular Cylinders

Volume Formula

Steps to Calculate Volume

Video

Real-World Applications

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.

Volume Formula for Cylinders

Volume Formula for Cylinders

Volume Formula

Steps to Calculate Volume

Steps to Calculate Volume

Identify Dimensions

Steps

Apply Formula

Convert Units

Example Calculation

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

Applying the formula

Video

Volume Formula for Cylinders

Real-World Applications

Real-World Applications

Example 1

Example 2

Real-World Applications

Determine the cost based on volume.

Example 3

STEPS:

1. Calculate the volume of the tank:

2. Determine the cost based on volume.

FlipCard Quiz

Start

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?

End of the quiz!

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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.

Example 2

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

Solution

Volume:

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

Example 1

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

Solution

Radius: r=8/2=4 meters Volume

Components:

Base Area: Height: h