Daily Check Find x (2x + 8)º 3 (6x – 16)º x 4

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CCGPS Geometry Day 27 ( ) UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: How do we find the volume of cylinders, prisms, cones, and pyramids? Standard: MMC9-12.G.GMD1 and 3

VOLUME = the number of cubic units contained in its interior VOLUME has cubic units Cm 3, ft 3, units 3

The volume of a cube is side 3 4 ft Volume = lengthwidthheight Volume = s 3 Volume = 4 3 Volume = 64 ft 3 In a CUBE they are all the same

When a prism is NOT a cube… B (area of the BASE) The formula for B will depend on the shape of the base. B (area of the BASE) The formula for B will depend on the shape of the base.

Volume Formula for Prisms & Cylinders V = Bh

B = area of the BASE h = HEIGHT Volume of a Prism V = 12 in 3 4 in 3 in 2 in

Volume of a Cylinder 7 cm 5 cm V = cm 3 Round to the nearest tenth.

WS 1 – 5

How many cones will it take to fill the cylinder? They have the same size base. They also have the same height.

Volume Formula for Cones & Pyramids

8 ft 12 ft 10 ft Find the volume.

2 cm 3 cm What is the volume of this cone? Round to the nearest tenth. 3.6 cm

WS 6 – 8

2 Types of Answers Rounded Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your answer

r Radius of a Sphere

If you cut a sphere right down the middle you would create two congruent halves called HEMISPHERES. You can think of the globe. The equator cuts the earth into the northern and southern hemisphere.

Look at the cross section formed when you cut a sphere in half. What shape is it? A circle!!! This is called the GREAT CIRCLE of the sphere.

Surface Area of a Sphere

8 in Surface Area of a Sphere (round to the nearest hundredths)

10 cm Surface Area of a Sphere (round to the nearest hundredths)

25 in The circumference of a great circle of a sphere is 25 inches. Find the surface area of the sphere. (Round to the nearest tenths.)

A sphere is inscribed in a cube of volume 27 cubic meters. What is the surface area of the sphere? Give an exact answer and an answer rounded to the nearest hundredth.

Volume of a Sphere

2 cm Volume of a Sphere (round to the nearest hundredths)

10 cm Volume of a Sphere (round to the nearest hundredths)

Volume of a Sphere A sphere is inside a cube. The cube has a volume of 27 cm 3. Find volume of the sphere. Round to the nearest hundredths.

WS 9 – 16