Exploring Volume and Surface Area of Cylinders

What is the first step in finding the surface area of a cylinder?

• Calculate the volume

• Find the radius

• Multiply by pi

• Draw a net of the cylinder

Tags

CCSS.6.G.A.4

How do you find the missing length of the rectangle in the cylinder's net?

• Multiply the radius by 2

• Multiply the diameter by pi

• Divide the height by pi

• Add the radius to the height

What is the formula to find the area of the circle in a cylinder's surface area calculation?

• Circumference / pi

• Diameter * pi

• Radius + pi

• Radius squared * pi

Why is it important to label units in your calculations?

• Units are not important

• To confuse the reader

• To make the numbers look bigger

• To differentiate between volume and surface area

Tags

CCSS.3.MD.A.2

What changes in the calculation if you are given the diameter instead of the radius?

• The formula for volume

• The formula for surface area

• You divide the diameter by 2 to find the radius

• Nothing changes

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the formula for the volume of a cylinder?

• 2 * pi * radius * height

• Pi * radius * height

• Pi * radius squared * height

• Pi * diameter squared * height

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

How do you find the volume of a cylinder with a diameter of 10 and height of 12?

• Add the diameter to the height

• Multiply the diameter by the height

• Divide the diameter by 2 to find the radius first

• Use the diameter directly in the formula

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the result of calculating the volume of a cylinder with a radius of 11 and height of 8?

• None of the above

• 863.5 centimeters cubed

• 3,039.52 centimeters cubed

• 942 yards cubed

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

In the context of cylinders, what does the 'area of the base' refer to?

• The volume of the cylinder

• The total surface area

• The area of one of the circles

• The area of the rectangle

Why is it necessary to square the radius when calculating the area of the base in a cylinder?

• To make the calculation more complex

• Squaring the radius is not necessary

• Because the base is a circle and that's the formula for the area of a circle

• To account for both the top and bottom bases