Volume and Surface Area Formulas

The video tutorial covers the calculation of surface area and volume for cylinders, cones, and spheres. It explains the formulas for each shape, including the surface area of a cylinder, the volume of a cylinder, the volume of a cone, the surface area of a sphere, and the volume of a sphere. The tutorial provides step-by-step examples to illustrate how to apply these formulas in practical scenarios.

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

• πr² + 2πrh

• 2πr² + πrh

• πr² + πrh

• 2πr² + 2πrh

If a cylinder has a radius of 4 cm and a height of 5 cm, what is its surface area?

• 150.60 cm²

• 180.72 cm²

• 200.48 cm²

• 226.08 cm²

How do you calculate the volume of a cylinder?

• 2πrh

• πr² + h

• 2πr²h

• πr²h

A cylinder has a diameter of 18 cm and a height of 4 cm. What is its volume?

• 1017.36 cm³

• 950.24 cm³

• 900.12 cm³

• 1100.48 cm³

What is the formula for the volume of a cone?

• 1/3πr²h

• πr²h

• 2/3πr²h

• 1/2πr²h

A cone has a radius of 5 inches and a height of 11 inches. What is its volume?

• 300.00 in³

• 250.50 in³

• 287.83 in³

• 275.75 in³

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

• πr²

• 3πr²

• 2πr²

• 4πr²

A sphere has a radius of 7 meters. What is its surface area?

• 615.44 m²

• 500.00 m²

• 700.00 m²

• 650.00 m²

What is the formula for the volume of a sphere?

• 3/4πr³

• 2/3πr³

• πr³

• 4/3πr³

A sphere has a diameter of 6 inches. What is its volume?

• 113.04 in³

• 130.00 in³

• 100.00 in³

• 120.00 in³