Daily Check Find x. 1. Find the volume of the sphere. Round to the nearest cubic meter. 2. What is the total surface area of a sphere whose radius is 5.5 meters? Two similar triangles have radii ratio of 2:8. What is the ratio of their surface areas? What is the ratio of their volumes?

Review Homework

CCGPS Geometry Day 27 (9-13-13) 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

of Prisms and Cylinders Volume of Prisms and Cylinders

VOLUME = the number of cubic units contained in its interior VOLUME has cubic units Cm3, ft3, units3 VOLUME = the number of cubic units contained in its interior

Volume = length•width•height In a CUBE they are all the same The volume of a cube is side3 Volume = s3 4 ft Volume = 43 Volume = 64 ft3

When a prism is NOT a cube… 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 B = area of the BASE h = HEIGHT 4 in 3 in 2 in V = 12 in3

V = 769.7 cm3 Volume of a Cylinder 7 cm 5 cm Round to the nearest tenth. 7 cm 5 cm V = 769.7 cm3

Volume Formula for Cones & Pyramids

Find the volume. 8 ft 10 ft 12 ft

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