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Lesson 13 Practice Problems
Sketch a cylinder.
Label its radius 3 and its height 10.
Shade in one of its bases.
Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm. Find the volume of each cylinder.
14.2: What’s the Dimension?
The volume V of a cylinder with radius r is given by the formula V=πr^2 h.
The volume of this cylinder with radius 5 units is 50π cubic units. This statement is true: 50π=5^2 πh
What does the height of this cylinder have to be? Explain how you know.
Lesson 14 Practice Problems
Complete the table with all of the missing information about three different cylinders.
diameter of base (units) area of base (square units) height (units) volume (cubic units)
4 10
6 63π
25π 6
A cylinder has volume 45π and radius 3. What is its height?
Three cylinders have a volume of 2826 cm3. Cylinder A has a height of 900 cm. Cylinder B has a height of 225 cm. Cylinder C has a height of 100 cm. Find the radius of each cylinder. Use 3.14 as an approximation for π.
A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long.
Sketch the tank, and mark the radius and the height.
How much gas can fit in the tank?
15.2: From Cylinders to Cones
A cone and cylinder have the same height and their bases are congruent circles.
If the volume of the cylinder is 90 cm3, what is the volume of the cone?
If the volume of the cone is 120 cm3, what is the volume of the cylinder?
If the volume of the cylinder is V=πr^2 h, what is the volume of the cone? Either write an expression for the cone or explain the relationship in words.
15.3: Calculate That Cone
Here is a cylinder and cone that have the same height and the same base area.
What is the volume of each figure? Express your answers in terms of π.
Here is a cone.
What is the area of the base? Express your answer in terms of π.
What is the volume of the cone? Express your answer in terms of π.