Understanding the Surface Area of a Cone

The video tutorial from MooMooMath explains how to calculate the surface area of a cone. It begins by defining the surface area as the outer covering of the cone, including the lateral area and the base. The tutorial then introduces the formula for surface area, which involves the radius and slant height. The slant height is calculated using the Pythagorean theorem. Finally, the video demonstrates how to calculate the lateral area and the base area, and then sum them to find the total surface area of the cone.

What is the surface area of a cone primarily composed of?

• The diameter and the base

• The height and the base

• The lateral area and the base

• The volume and the base

In the formula for the surface area of a cone, what does the variable 's' represent?

• The height of the cone

• The slant height of the cone

• The radius of the base

• The diameter of the base

Which mathematical theorem is used to find the slant height of a cone?

• The Fundamental theorem of calculus

• The Euclidean theorem

• The Binomial theorem

• The Pythagorean theorem

If the radius of a cone is 6 and the height is 8, what is the slant height?

• 10

• 8

• 12

• 6

What is the lateral area of a cone with a radius of 6 and a slant height of 10?

• 60π

• 180π

• 120π

• 360π

What is the total surface area of a cone with a radius of 6?

• 72π

• 36π

• 360π

• 396π