1. VOLUME
OF CONES AND
CYLINDERS
LESSON 25

2. Volume of Cylinders
The amount of space that an object occupies is the volume of the object.
To calculate volume of a cylinder, take the product of the area of its base and its height.
V = Area of base x height
Volume is measure in cubic units.

3. Volume of Cylinder
To find the volume, calculate the area of the base and multiply by the height.
Circles
A =
A = (3.14)(5)2
A = 78.5 cm2
Height = 20 cm
V = h
= 78.5(20)
= 1570 cm3
V = Area of base x height

4. YOU TRY!
To find the volume, calculate the area of the base and multiply by the height.
V = Area of base x height

5. SOLUTION
To find the volume, calculate the area of the base and multiply by the height.
Circles
A =
A = (3.14)(4)2
A = mm2
Height = 8 mm
V = h
= 50.24(8)
= mm3
V = Area of base x height

6. Volume of Cone
To find the volume, Multiply of the volume of a cylinder 1 3 1 3
Circles
A =
A = (3.14)(5)2
A = 78.5 m2
V = h
= 78.5(9)
= m3
V = h =
= m3
706.5 3
Height = 9 m 1 3
V = Volume of cylinder

7. YOU TRY! To find the volume, Multiply of the volume of a cylinder 1 3
V = Volume of cylinder

8. SOLUTION To find the volume, Multiply of the volume of a cylinder 1 3
Circles
A =
A = (3.14)(6)2
A = cm2
V = h
= (9.5)
= cm3
V = h =
= cm3 3
Height = 9.5 cm 1 3
V = Volume of cylinder

9. LETS REVIEW bh 2 V = Area of base x height Volume of Rectangular Prism
V = lwh
Volume of Rectangular Prism
V = Area of base x height
Volume of a Triangular Prism bh 2
V = (h) 1 3
V = Area of base x height
Volume of a Pyramid 1 3
V = Volume of cylinder
V = h
Volume of a Cone 1 3

10. LETS REVIEW
V = Area of base x height
V = h
Volume of Cylinder

11. Class work Check solutions to Lesson 24
Copy down examples and notes to this lesson.
Complete Lesson 25 worksheet