Exploring the Net and Surface Area of a Cone

The video tutorial explains how to calculate the total surface area of a cone. It begins by describing the components of a cone's surface: the curved surface and the base circle. The tutorial then provides the formulas needed to calculate the surface area, which include the area of the circle (πr²) and the area of the curved surface (πrh). An example is given where the radius is 7 cm and the height is 10 cm, using π as 22/7. The tutorial walks through the calculation process, resulting in a total surface area of 374 cm².

What shapes make up the surfaces of a cone?

• One rectangle and one circle

• One ellipse and one circle

• One triangle and one square

• One sector of a circle and one circle

Tags

CCSS.7.G.A.3

What are the necessary areas to calculate the surface area of a cone?

• Area of the square and area of the triangle

• Area of the circle and area of the curved surface

• Area of the base and volume

• Area of the curved surface and volume

What is the radius of the cone used in the example?

• 12 centimeters

• 7 centimeters

• 10 centimeters

• 5 centimeters

What formula is used to calculate the area of the circular base of the cone?

• r^2 + h^2

• pi * r^2

• 2 * pi * r

• pi * r * h

Tags

CCSS.7.G.B.4

How is the area of the curved surface calculated?

• r^2 + h^2

• 2 * pi * r

• pi * r^2

• pi * r * h

What is the height of the cone used in the example?

• 7 centimeters

• 15 centimeters

• 10 centimeters

• 12 centimeters

What value of pi is used in the calculations?

• 3.14

• 3.142

• 22/7

• 3.14159

Tags

CCSS.HSG.GMD.A.1

What is the total surface area of the cone as calculated in the example?

• 360 cm^2

• 374 cm^2

• 350 cm^2

• 400 cm^2

How is the total surface area of the cone derived?

• Adding the area of the circle to the volume

• Multiplying the area of the circle by the area of the curved surface

• Multiplying the area of the circle by the height

• Adding the area of the circle to the area of the curved surface