VOLUME OF CYLINDER - Derivation and Examples
- 1. REVIEW What is volume? Volume is the amount of space taken up or occupied by an object or that is enclosed within a container. The volume measures how much space an object occupies or the capacity of a container.
- 3. RECALL THE VOLUME OF CUBE AND RECTANGULAR PRISM
- 4. RECALL THE VOLUME OF CUBE AND RECTANGULAR PRISM Vcube= Abase · h = s2 · s Vcube= s3 Vprism= Abase · h = l · w · h Vprism = lwh
- 5. CYLINDER A cylinder is a 3-dimensional figure having parallel circular bases as shown in the figure on the left. Its height forms a right angle with the bases. Vcylinder = Abase · h
- 6. CYLINDER Vcylinder = Abase · h Vcylinder = · h
- 7. Example 1. Find the volume of a cylinder with radius measuring 2 meters (2 m) and height 4 meters (4 m). Solution: Vcylinder = · h Vcylinder = (3.14)· 4m Vcylinder = (3.14)· 4m Vcylinder =· 4m Vcylinder =
- 8. Example 2. The diameter of a can of sardines is 5 cm, and the height is 8.5 cm. What is the volume of the tin can? Solution: Vcylinder = · h Vcylinder = (3.14)· 8.5cm Vcylinder = (3.14)· 8.5cm Vcylinder =· 8.5cm Vcylinder =
- 9. Example 3: What is the height of a cylinder whose radius is 5 dm and has a volume of 471 dm3 ? Solution: Vcylinder = · h = (3.14)· h = (3.14)· h = · h h=
- 10. Example 4. What is the radius of the cylinder whose height is 4 ft and volume of 50.24 ft3 ? Solution: Vcylinder = · h = (3.14)· 4ft = (12.56ft) r = 2ft 12.56ft = √ √
- 11. PRACTICING SKILL Solve the following problems. Use 𝜋 = 3.14. 1. Find the volume of a cylinder having a radius of 7 inches and a height of 10 inches. 2. What is the radius of a cylinder having a height of 5 meters and a volume of 141.3 cubic meters? 3. What is the height of a cylinder having a volume of 549.5 cubic feet and a radius
- 12. GROUP ACTIVTY Solve the following problems. Use 𝜋 = 3.14 1. How many liters of water are needed to fill a cylindrical swimming pool of a diameter of 21 feet and a depth of 8 feet? (1 cu. ft. ≈ 28.32 liters) 2. The owner of a newly constructed house plans to install a cylindrical water tank with exactly 4 feet in diameter that can hold at least 50 cubic feet of water. At