Surface Area Mastery

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

• Surface Area = 2πr + 2πh

• Surface Area = πr² + 2πrh

• Surface Area = πr²h

• Surface Area = 2πr² + 2πrh

A cylinder has a radius of 3 cm and a height of 5 cm. What is its surface area?

• 48π cm²

• 30π cm²

• 36π cm²

• 60π cm²

What is the formula for the surface area of a cone?

• Surface Area = πr² + πrs

• Surface Area = 2πr + πr²

• Surface Area = πr² + 2πrs

• Surface Area = 2πr² + πh

A cone has a radius of 4 cm and a height of 9 cm. Calculate its surface area.

• Surface Area ≈ 150.50 cm²

• Surface Area ≈ 163.28cm²

• Surface Area ≈ 100.00 cm²

• Surface Area ≈ 120.00 cm²

What is the formula for the surface area of a sphere?

• 4 * π * r

• π * r²

• 2 * π * r

• 4 * π * r²

A sphere has a radius of 6 cm. What is its surface area?

• 72π cm²

• 200 cm²

• 100π cm²

• 144π cm² or approximately 452.16 cm²

If a cylinder has a surface area of 150 cm² and a height of 10 cm, what is its radius?

• 4.20 cm

• 2.50 cm

• 5.00 cm

• 0.44 cm

A cone is used as a party hat with a height of 12 cm and a base radius of 5 cm. What is the surface area of the hat?

• 150π cm²

• 100π cm²

• 85πcm²

• 90π cm² or approximately 282.74 cm²

A basketball is a perfect sphere with a diameter of 24 cm. What is its surface area?

• 500π cm²

• 300π cm²

• 576π cm² or approximately 1809.56 cm²

• 400π cm²

In a real-world scenario, how would you calculate the surface area of a water tank shaped like a cylinder?

• Surface Area = 2πrh

• Surface Area = 2πrh+ 2πr²

• Surface Area = πr²h

• Surface Area = πd²h