Surface Area and Volume Formulas

This video tutorial covers the topic of curved surface shapes in mathematics for grade 9. It begins with an introduction to cylinders, explaining their properties and formulas for surface area and volume, followed by examples. The tutorial then moves on to cones, detailing their characteristics and calculations, including the use of the Pythagorean theorem for finding slant height. Finally, the video discusses spheres, providing formulas for surface area and volume, along with practical examples. The tutorial aims to enhance understanding through step-by-step problem-solving and encourages practice for mastery.

What are the components of a cylinder?

• Two circles and a rectangle

• Two squares and a triangle

• A circle and a square

• A triangle and a rectangle

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

• 2πr(r + h)

• πr²h

• 4πr²

• 1/3πr²h

If a cylinder has a radius of 7 cm and a height of 10 cm, what is its surface area?

• 1540 cm²

• 1256 cm²

• 942 cm²

• 748 cm²

What is the formula for the volume of a cylinder?

• πr²h

• 1/3πr²h

• 2πr(r + h)

• 4/3πr³

What shape is similar to a birthday hat?

• Cone

• Cylinder

• Sphere

• Cube

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

• πr(r + s)

• 2πr(r + h)

• πr²h

• 4πr²

If a cone has a radius of 3 cm and a height of 4 cm, what is its surface area?

• 94.2 cm²

• 154 cm²

• 1256 cm²

• 75.36 cm²

What is the formula for the volume of a cone?

• 1/3πr²h

• πr²h

• 2πr(r + h)

• 4/3πr³

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

• 2πr(r + h)

• 1/3πr²h

• 4πr²

• πr²h

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

• 1256 cm²

• 748 cm²

• 942 cm²

• 1540 cm²