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Over Lesson 12–2 A.A B.B C.C D.D 5-Minute Check 1 A cubic inch of water weighs 0.036 pound. A 10- gallon fish tank measures 20 inches by 10 inches by 12 inches. How much will the water in the fish tank weigh if it is filled to capacity?

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Splash Screen

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Then/Now You have already found the areas of circles. (Lesson 11–8) Find the volumes of circular cylinders. Find the volumes of composite figures involving circular cylinders.

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Concept

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Example 1 A Volume of a Cylinder A. Find the volume of the cylinder. Round to the nearest tenth. Answer: The volume is about 2154.0 cubic feet. V =BhVolume of a cylinder V =πr 2 hReplace B with πr 2. V ≈ 3.14 ● 7 2 ● 14Replace π with 3.14, r with 7, and h with 14. V ≈2154.0Simplify.

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Example 1 B Volume of a Cylinder B. Find the volume of the cylinder. Round to the nearest tenth. diameter of base 10 m, height 2 m Since the diameter is 10 meters, the radius is 5 meters. Answer: The volume is about 157 cubic meters. V=πr 2 hFormula for volume of a cylinder V≈3.14 ● 5 2 ● 2Replace π with 3.14, r with 5, and h with 2. V≈157Simplify.

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A.A B.B C.C D.D Example 1 CYP A A.175.9 in 3 B.336 in 3 C.351.7 in 3 D.615.8 in 3 A. Find the volume of the cylinder. Round to the nearest tenth.

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A.A B.B C.C D.D Example 1 CYP B A.1206.4 cm 3 B.301.4 cm 3 C.226.2 cm 3 D.150.8 cm 3 B. Find the volume of the cylinder with a base diameter of 8 cm and a height of 6 cm. Round to the nearest tenth.

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Example 2 Height of a Cylinder The volume of the cylinder is 99 cubic inches. Find the height of the cylinder. Round to the nearest tenth. V= BhVolume of a cylinder V= πr 2 h Replace B with πr 2. 99≈ 3.14 ● 3 2 ● hReplace V with 99, π with 3.14, and r with 3.

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Example 2 Height of a Cylinder Answer: The height is about 3.5 inches. 3.5 ≈ h Divide each side by 28.26. 99 ≈ 28.26hSimplify.

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A.A B.B C.C D.D Example 2 A.6.0 in. B.6.4 in. C.7.2 in. D.7.5 in. The volume of a cylinder is 678 cubic inches. Find the height of the cylinder. Round to the nearest tenth.

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End of the Lesson

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