Calculating Surface Areas of Cylinders

What formula is used to calculate the total surface area of a cylinder?

• 2 pi r h

• pi r^2 h

• 2 pi r^2 + 2 pi r h

• pi r (r + h)

What does the term '2 pi r h' in the cylinder surface area formula represent?

• Volume of the cylinder

• Area of the base

• Lateral surface area

• Total surface area

In the context of cylinders, what does 'r' stand for?

• Area

• Volume

• Height

• Radius

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Why is the formula for the surface area of a cylinder considered straightforward?

• Because it only requires the radius and height

• Because it is the same as the formula for prisms

• Because it does not involve pi

• Because it does not require calculation of base area

For a cylinder with a radius of 2 and height of 4, what is the total surface area?

• 25.12 square feet

• 50.24 square feet

• 75.36 square feet

• 100.48 square feet

What is the lateral surface area of a cylinder with a radius of 8 and height of 5?

• 100.48 square centimeters

• 125.6 square centimeters

• 251.2 square centimeters

• 502.4 square centimeters

How does the open top of the vase affect the surface area calculation?

• It reduces the surface area by half

• It has no effect

• It eliminates the need to calculate one base area

• It doubles the surface area

What is the correct way to adjust the surface area formula for a cylinder with an open top?

• 2 pi r h - pi r^2

• pi r^2 + 2 pi r h

• 2 pi r h

• 2 pi r h + pi r^2

For a cylindrical vase 10 inches tall with a 3-inch diameter, what is the radius?

• 0.75 inches

• 3 inches

• 6 inches

• 1.5 inches

Tags

CCSS.7.G.B.4

What is the surface area of the cylindrical vase described in the word problem?

• 101.265 square inches

• 50.6325 square inches

• 202.53 square inches

• 75.94875 square inches