Wize High School Grade 9 Math Textbook > 3D Geometry - Measurements

Surface Area of a Cylinder
A cylinder is a special type of prism, where the end faces are circles.

The surface area of the cylinder is made up of the following:
Area of the top (circle): π×r2\pi\times r^2π×r2
Area of the bottom (circle): π×r2\pi\times r^2π×r2
Area of the side that wraps around the cylinder:           2 π r h          

So, the surface area of a cylinder is S.A.cylinder=2πr2+2πrh\large\boxed{\text{S.A.}_\text{cylinder}=2\pi r^2+2\pi r h}S.A.cylinder​=2πr2+2πrh​.

Practice: Surface Area of a Cylinder
Find the surface area of the cylinder with radius 3 m and height 10 m.

Enter the exact surface area in

m^2

, do not round your answer, do not include units.

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0:00 / 0:00

Volume of a Cylinder
A cylinder is a special type of prism, where the end faces are circles.

Recall: The volume of a prism is V=(Area of the base)×heightV=(\text{Area of the base})\times\text{height}V=(Area of the base)×height

So, the volume of a cylinder is Vcylinder=πr2h\large\boxed{V_\text{cylinder}=\pi r^2h}Vcylinder​=πr2h​.

Practice: Volume of a Cylinder
Find the volume of a cylinder with radius 3 m and height 10 m.

Enter the EXACT volume in

m^3

, do not round your answer, do not include units

I don't know

Practice: Cylinders

A cylindrical soda can has a volume of 0.35L. If the radius of the top of the can is 3.2 cm, determine the height of this soda can.

Useful conversions:
1 L = 1000 ml
1 ml = 1 cm3

Enter the height of the sode can in cm, rounded to 2 decimal places, do not include units.

I don't know