1. GEOMETRY HELP Find the volume of a square pyramid with base edges 15 cm and height 22 cm. Because the base is a square, B = 15 15 = 225. V = BhUse the formula for volume of a pyramid. 1313 = (225)(22)Substitute 225 for B and 22 for h. 1313 = 1650Simplify. The volume of the square pyramid is 1650 cm 3. Quick Check Volumes of Pyramids and Cones LESSON 11-5 Additional Examples

2. GEOMETRY HELP Find the volume of a square pyramid with base edges 16 m and slant height 17 m. The altitude of a right square pyramid intersects the base at the center of the square. Volumes of Pyramids and Cones LESSON 11-5 Additional Examples

3. GEOMETRY HELP Because each side of the square base is 16 m, the leg of the right triangle along the base is 8 m, as shown below. Step 1: Find the height of the pyramid. 17 2 = 8 2  h 2 Use the Pythagorean Theorem. 289 = 64  h 2 Simplify. 225 = h 2 Subtract 64 from each side. h = 15Find the square root of each side. (continued) Volumes of Pyramids and Cones LESSON 11-5 Additional Examples

4. GEOMETRY HELP Step 2: Find the volume of the pyramid. = 1280Simplify. The volume of the square pyramid is 1280 m 3. V = BhUse the formula for the volume of a pyramid. 1313 = (16  16)15Substitute. 1313 (continued) Volumes of Pyramids and Cones LESSON 11-5 Additional Examples Quick Check

5. GEOMETRY HELP Find the volume of the cone below in terms of. r = d = 3 in. 1212 V = r 2 hUse the formula for volume of a cone. 1313 = (3 2 )(11)Substitute 3 for r and 11 for h. 1313 = 33Simplify. The volume of the cone is 33 in. 3. Volumes of Pyramids and Cones LESSON 11-5 Additional Examples Quick Check

6. GEOMETRY HELP An ice cream cone is 7 cm tall and 4 cm in diameter. About how much ice cream can fit entirely inside the cone? Find the volume to the nearest whole number. r = = 2 d2d2 V = r 2 hUse the formula for the volume of a cone. 1313 V = (2 2 )(7)Substitute 2 for r and 7 for h. 1313 About 29 cm 3 of ice cream can fit entirely inside the cone. Volumes of Pyramids and Cones LESSON 11-5 Additional Examples Quick Check Use a calculator.