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EXAMPLE 1 Find the volume of a solid Find the volume of the solid. a.

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Presentation on theme: "EXAMPLE 1 Find the volume of a solid Find the volume of the solid. a."— Presentation transcript:

1 EXAMPLE 1 Find the volume of a solid Find the volume of the solid. a. V = Bh 1 3 = ( )(9) 1 3 2 = 36 m3

2 EXAMPLE 1 Find the volume of a solid b. V = Bh 1 3 = (πr2)h 1 3 = (π )(4.5) 1 3 = 7.26π ≈ cm3

3 EXAMPLE 2 Use volume of a pyramid ALGEBRA
Originally, the pyramid had height 144 meters and volume 2,226,450 cubic meters. Find the side length of the square base. SOLUTION V = bh 1 3 Write formula. 2,226,450 = (x2)(144) 1 3 Substitute.

4 Originally, the side length of the base was about 215 meters. ANSWER
EXAMPLE 2 Use volume of a pyramid 6,679,350 = 144x2 Multiply each side by 3. 46,384 ≈ x2 Divide each side by 144. 215 ≈ x Find the positive square root. Originally, the side length of the base was about 215 meters. ANSWER

5 GUIDED PRACTICE for Examples 1 and 2 Find the volume of the solid. Round your answer to two decimal places, if necessary. 1. Hexagonal pyramid yd3 ANSWER

6 GUIDED PRACTICE for Examples 1 and 2 2. Right cone ANSWER 163.49m3

7 GUIDED PRACTICE for Examples 1 and 2 3. The volume of a right cone is 1350π cubic meters and the radius is 18 meters. Find the height of the cone. The Height of the cone is 12.5m ANSWER


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