Volume of a Cylinder and Rectangular Prism

Exercise 5H - Volume of a Cylinder

Re-Cap of Volume

• Volume is the space inside a 3D object, measured in mm³, cm³, m³, km³.

• Capacity is the amount of liquid you can fill up a container with. 1 cm³ = 1 mL.

• Volume = A_{cross-section} x Length/Height_prism

Match

Match the following 3D objects with the correct cross-sectional shape

Triangle

Rectangle

Hexagon

Trapezium

• Triangle

• Rectangle

• Hexagon

• Trapezium

Labeling

Label the cylinder

Drag labels to their correct position on the image

Diameter

Cross-Sectional Area

Length of Prism

Radius

Fill in the Blanks

The cross-section of a cylinder is a

Volume of a Cylinder

Drag and Drop

Find the volume of the cylinder. Fill in the blanks to show the correct working out.



r = ​

Placeholder

, h = ​

Placeholder

V = ​ πr²h

V = ​

Placeholder

× 3² × ​

Placeholder

v = ​

Placeholder

Drag these tiles and drop them in the correct blank above

π

10

3 cm

10 cm

6 cm

6

282.74 cubic centimeters

Volume of a Portion of a Cylinder

Draw

Find the volume of the following cylinder.

V = $$\frac{\theta}{360}\times\pi r^2\times h$$