Surface Area and Volume Problems

This video tutorial covers the calculation of surface areas for spheres, cylinders, and composite figures. It begins with an introduction to the formula for the surface area of spheres, using examples of a basketball and a baseball to demonstrate the process. The tutorial then moves on to calculating the lateral area of a cylinder and combining it with the surface area of a sphere. Finally, it addresses the surface area of composite figures, including a rectangular prism, and discusses the importance of understanding these concepts in geometry.

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

• 4πr²

• 2πr²

• 3πr²

• πr²

What is the approximate value of π used in calculations?

• 3.14

• 3.15

• 3.13

• 3.16

If the circumference of a basketball is 29.5 inches, what is the first step to find its surface area?

• Multiply the circumference by π

• Find the radius using the circumference formula

• Directly use the circumference in the surface area formula

• Use the diameter in the surface area formula

What is the radius of a basketball with a circumference of 29.5 inches?

• 4.69 inches

• 6.69 inches

• 5.69 inches

• 3.69 inches

How do you calculate the surface area of a sphere once you have the radius?

• Use the formula πr²

• Use the formula 3πr²

• Use the formula 2πr²

• Use the formula 4πr²

What is the surface area of a basketball with a radius of 4.69 inches in terms of π?

• 67.98π

• 97.98π

• 87.98π

• 77.98π

What is the surface area of a basketball with a radius of 4.69 inches using π ≈ 3.14?

• 276.27

• 286.27

• 256.27

• 266.27

What is the circumference of a baseball?

• 7 inches

• 8 inches

• 9 inches

• 10 inches

What is the radius of a baseball with a circumference of 9 inches?

• 4.43 inches

• 3.43 inches

• 2.43 inches

• 1.43 inches

What is the surface area of a baseball with a radius of 1.43 inches in terms of π?

• 6.17π

• 7.17π

• 9.17π

• 8.17π