1. Lesson 15.1 – Volumes of Cylinders
8.G.9 – Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems

2. Key Idea Volume of a Cylinder
Words: The volume V of a cylinder is the product of the area of the base and the height of the cylinder.
Algebra: V = Bh
B – Area of base h – Height of cylinder

3. Study Tip
Because B = πr2, you can use V = πr2h to find the volume of a cylinder.

5. Extra Example 1
Find the volume of a cylinder with a radius of 6 feet and a height of 3 feet. Round your answer to the nearest tenth.

7. Extra Example 2
Find the height of a cylinder with a diameter of 4 yards and a volume of 88 cubic yards. Round your answer to the nearest whole number.

8. Find the volume V or height h of the cylinder
Find the volume V or height h of the cylinder. Round your answer to the nearest tenth.

10. Extra Example 3
A jelly jar has a radius of 3 centimeters and a height of 8 centimeters. The jelly remaining in the jar has a height of 3 centimeters. How much jelly is missing from the jar?

12. Extra Example 4
About how many gallons of water does the watercooler bottle in Example 4 contain if the bottle is 1.25 feet tall?

13. On Your Own
What If? In Example 3, the height of the salsa in the jar is 5 centimeters. How much salsa is missing from the jar?
A cylindrical water tower has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the tower contain? (1 m gal)

14. Mini-Assessment
Find the volume of the cylinder. Round your answer to the nearest tenth.

15. Homework
pp. 676 – 677
1 – 5, 9 – 11, 14 – 24