Surface Area of Cylinders

Front

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

Back

Total Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

What does the lateral surface area of a cylinder represent?

Back

The lateral surface area is the area of the curved surface of the cylinder, excluding the top and bottom bases.

Front

How do you calculate the lateral surface area of a cylinder?

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

What is the value of π (pi) commonly approximated to in calculations?

Back

π is commonly approximated to 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2 × 3.14 × 5 × 10 = 314 cm².

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Front

How do you find the total surface area of a cylinder with a radius of 3 cm and height of 7 cm?

Back

Total Surface Area = 2πr(h + r) = 2 × 3.14 × 3(7 + 3) = 188.4 cm².

Front

What units are used to measure surface area?

Back

Surface area is measured in square units, such as cm², m², or in².

Front

What is the total surface area of a cylinder with a radius of 4 inches and height of 10 inches?

Back

Total Surface Area = 2πr(h + r) = 2 × 3.14 × 4(10 + 4) = 351.68 in².

Front

Why is it important to round answers in surface area calculations?

Back

Rounding provides a more manageable number and reflects the precision of measurements used.

Tags

CCSS.6.G.A.4