How do you think through and answer a real world problem involving cylinders? For example: A cylindrical rain barrel has a radius of 1.5 ft and holds approximately cubic ft of water. Find the approximate height of the barrel.

In this lesson you will learn how to solve real world problems by finding the volume of cylinders.

Let’s Review B h

2.5 cubic feet of water means I have a volume of 2.5 ft 3 ft ft 2 ft 3 length area volume

Core Lesson A cylindrical rain barrel has a radius of 1.5 ft and holds approximately cubic ft of water. Find the approximate height of the barrel.

Let’s Review Core Lesson r= 1.5 ft h=???

Let’s Review Core Lesson

Let’s Review A Common Mistake r= 1.5 ft V = ft 3 Actual: h = 4 in

In this lesson you learned how to solve real world problems by finding the volume of cylinders.

Let’s Review Guided Practice A drinking glass holds 126 cubic cm of water. Find the radius of the glass if the height is 10 cm.

Let’s Review Guided Practice The volume of a cylindrical bucket is 1280π cubic inches. Find the height of the bucket if the base area is 64π sq. inches.

Let’s Review Extension Activities A cement pipe has an inner diameter of 30 inches and is 3 inches thick. How much cement is needed to make a section of pipe 10 ft long?

Let’s Review Quick Quiz 1. The volume of a flower pot is 72π cubic inches. Find the height of the pot if the base area is 9 sq. inches. 2. A rain barrel is three quarters full. If the barrel has a radius of 1.5 ft and is 3 ft tall, how much water is it holding?