VOLUME OF CONES AND CYLINDERS LESSON 25

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.

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

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

SOLUTION To find the volume, calculate the area of the base and multiply by the height. Circles A = A = (3.14)(4)2 A = 50.24 mm2 Height = 8 mm V = h = 50.24(8) = 401.92 mm3 V = Area of base x height

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) = 706.5 m3 V = h = = 235.5 m3 706.5 3 Height = 9 m 1 3 V = Volume of cylinder

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

SOLUTION To find the volume, Multiply of the volume of a cylinder 1 3 Circles A = A = (3.14)(6)2 A = 113.04 cm2 V = h = 113.04(9.5) = 1073.88 cm3 V = h = = 357.96 cm3 1073.88 3 Height = 9.5 cm 1 3 V = Volume of cylinder

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

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

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