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**10-5 and 10-6 Volumes of Prisms, Cylinders, Pyramids, and Cones**

Objective – Find the volumes of prisms, cylinders, pyramids, and cones.

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CA Geometry Standard 9.0 Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres; and students commit to memory the formulas for prisms, pyramids, and cylinders.

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**Theorem 10-7 Volume of a Cylinder Base Area Radius Volume Base Area**

Height h Base Area Radius

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**#3 Finding the Volume of a Cylinder**

Find the volume of a cylinder with height 10 cm and radius 5cm. 5 cm 10 cm

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**#4 Finding the Volume of a Cylinder**

Find the volume of the cylinder. 9 ft 6 ft

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Theorem 10-9 Volume of a Cone Volume Height Base Area

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**#6 Finding the Volume of a Cone**

The radius of the base of a cone is 6 m. Its height is 13 m. Find the volume.

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Theorem 10-9 Volume of a Sphere 4 3 V = r3

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Theorem 10-9 Volume of a Sphere 4 3 V = r3

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Theorem 10-9 Volume of a Sphere 4 3 V = r3 4 in.

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Review: Find the volume of a rectangular prism with a length of 4 cm, width of 5cm and a height of 10 cm. V = Bh = (5)(4)(20) = 200cm3.

Review: Find the volume of a rectangular prism with a length of 4 cm, width of 5cm and a height of 10 cm. V = Bh = (5)(4)(20) = 200cm3.

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