Surface Area Challenges

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

• Surface Area = 2πr + πr²

• Surface Area = 2πr² + πh

• Surface Area = πr² + 2πrl

• Surface Area = πr² + πrl

Calculate the surface area of a cone with a radius of 3 cm and a height of 4 cm.

• 50.2 cm²

• 60.5 cm²

• 75.4 cm²

• 90.0 cm²

If a cone has a slant height of 5 cm and a radius of 2 cm, what is its surface area?

• 25.12 cm²

• 50.24 cm²

• 30.14 cm²

• 43.96 cm²

What is the surface area formula for a pyramid?

• Surface Area = Base Area + (1/2 * Perimeter of Base * Slant Height)

• Surface Area = Base Area + Height * Width

• Surface Area = 3 * Base Area + (1/2 * Base Area * Height)

• Surface Area = 2 * Base Area + Height

Find the surface area of a square pyramid with a base length of 6 cm and a height of 8 cm.

• 36 cm²

• 72 cm²

• 54 cm²

• 48 cm²

A pyramid has a base area of 25 cm² and a height of 10 cm. What is its surface area?

• 50 cm²

• 25 + 50√5 cm²

• 30 cm²

• 100 cm²

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

• SA = πr²

• SA = 4πr²

• SA = 2πr²

• SA = 6πr²

Calculate the surface area of a sphere with a radius of 7 cm.

• 400 cm²

• 615.44 cm²

• 154 cm²

• 785 cm²

If a sphere has a diameter of 10 cm, what is its surface area?

• 50π cm²

• 200π cm²

• 25π cm²

• 100π cm²

How does the surface area of a sphere change if the radius is doubled?

• The surface area increases by a factor of 2.

• The surface area increases by a factor of 4.

• The surface area decreases by a factor of 4.

• The surface area remains the same.