8th Grade PSSA: Geo-Pyth and Volume Review

 $a^2\ +\ b^2\ =\ c^2$  

Used only for right triangles

a = shortest  leg, b = longest leg, c = hypotenuese (longest side the slide)

Use the Pythagorean theorem

 $a^2\ +\ b^2\ =c^2$  if after plugging in your traingles sides to the formula and  equal than right triangle

If  $a^2\ +b^2\ >\ c^2$  then acute.  Note the hypotenuese or  $c^2\ is\ small\ or\ acute$  

If  $a^2\ +\ b^2\ <\ c^2$  then obtuse.  Note the  $c^2\$  is larger or obtuse

Cylinder: V =  $\pi r^2h$  

Cones:  V = (1/3) $\pi r^2h$  

Sphere:  V = (4/3) $\pi r^3$  

Always locate and label you variable:

h = height, v = volume, r = radius, $\pi$  $\approx$   3.14

Do this before attempting to solve a problem

If you are given the diameter, you must divide it by 2 to get the radius

The diameter goes across the entire sphere like the axis of the earth

The radius is more like a slice of pizza it only goes halfway

Using your points, connect the two points on your graph to form the hypontaneuse of your right triangle

Then using your points create a right triangle. It will look like rise and run.

Count the spaces/blocks (not the lines)

Use these totals for the legs of your triangle. Leg A = ? Leg B = ?

Make sure to then plug everything into the Pyth Theorem and solve for C, your distance is the hypoteneuse

GO to Youtube and find videos to review

Check your notes:)