Calculating Surface Area of Cylinders

What shapes make up the surface area of a cylinder?

• Two rectangles and one circle

• Two circles and one square

• One circle and one rectangle

• Two circles and one rectangle

Tags

CCSS.6.G.A.4

What is the formula for the area of a circle?

• πr^2

• 2πr

• πr

• 2r^2

Tags

CCSS.7.G.B.4

How do we transform the curved surface of a cylinder into a shape we can calculate?

• By compressing it into a square

• By cutting it vertically and unfolding

• By unfolding it into a triangle

• By cutting it horizontally

Tags

CCSS.6.G.A.4

What is the length of the rectangle obtained from the curved surface of a cylinder?

• The diameter of the base

• The area of the base

• The circumference of the base

• The radius of the base

Tags

CCSS.6.G.A.4

What does the breadth of the rectangle represent in the context of the cylinder?

• The diameter of the cylinder

• The height of the cylinder

• The radius of the cylinder

• The volume of the cylinder

Tags

CCSS.6.G.A.4

What is the formula for the circumference of a circle?

• πr

• 2r^2

• 2πr

• πr^2

Tags

CCSS.7.G.B.4

How is the total surface area of a cylinder calculated?

• By multiplying the area of the base with the height

• By calculating the volume and dividing by the height

• By adding the area of the two circles and the rectangle

• By squaring the radius of the base

What is the final formula for the total surface area of a cylinder?

• 2πr(r + h)

• πr^2 + 2πrh

• 2πr^2 + 2πrh

• πr^2h

If the radius of the base is doubled, how does the total surface area of the cylinder change?

• It increases by half

• It doubles

• It quadruples

• It remains the same

Given the height and radius of a cylinder, which part of the formula do they directly influence?

• Neither, they influence the volume only

• Both the area of the circles and the rectangle

• The area of the rectangle only

• The area of the circles only