Surface area of cylinders & cones

Presentation

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Mathematics

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10th - 11th Grade

•

Medium

•

CCSS

7.G.B.4, 8.G.C.9, HSG.GMD.A.3

Standards-aligned

Marcia Davis

Used 9+ times

FREE Resource

11 Slides • 6 Questions

Surface area of cylinders & cones

By Marcia Davis

Cylinder Volume

Cylinder Surface Area

Fill in the Blanks

The cylinder in the diagram has a diameter of 8 in and height of 12 in.

What is the base area of the cylinder? Write in terms of pi.

Type answer...

in^2

Fill in the Blanks

Find the lateral (rectangle) area of the cylinder. Give your answer in terms of pi.

Type answer...

in^2

Multiple Choice

What is the total Surface Area of the cylinder?

$112\pi\ \ in^2$

$128\pi\ \ in^2$

$192\pi\ \ in^2$

$768\pi\ \ in^2$

Fill in the Blanks

Find the surface area of the cylinder. You may use a calculator and round your answer to the nearest TENTH (1 decimal place)

Type answer...

ft^2

Surface Area of Cones

We need to separate into base and lateral area.
Notice with a cone, we only have one base (circle)
The lateral area is similar to that of a cylinder, but we won't use circumference, like we did for the cylinders.

Surface Area

Try this on your own

Multiple Select

radius = 4 cm and slant height = 5 cm

$\pi$ rl + $\pi$ r²

$\pi$ (4 cm)(5 cm) + $\pi$ (4 cm)²

20 $\pi$ cm² + 16 $\pi$ cm²

is what? Mark all that apply.

113.1 cm²

36 cm²

36 $\pi$ cm²

113.1 $\pi$ cm²

What if we have the true height instead of our slant height?

Can we find the slant height somehow? (What kind of triangle does it make?)
Use pythagorean theorem to find the hypotenuse (slant height)!

Fill in the Blanks

Find the SLANT HEIGHT of this cone: Round to nearest tenth

Type answer...

Surface area of cylinders & cones

By Marcia Davis

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