Exploring the World of Cones

The video tutorial introduces cones, explaining their parts such as radius, height, and slant height. It covers the formulas for calculating the volume and surface area of cones, emphasizing the importance of correctly identifying and labeling these parts. The tutorial includes a practical example where a word problem is solved, demonstrating how to apply these formulas to find the surface area of a cone. The session concludes with a brief mention of the next topic, pyramids.

What is the formula for calculating the volume of a cone?

• 2 π r h

• π r (r + l)

• π r^2 h

• 1/3 π r^2 h

What does the 'l' in the surface area formula of a cone represent?

• Height

• Diameter

• Radius

• Slant height

If a cone has a radius of 5 and a height of 12, what is its volume rounded to the nearest tenth?

• 314.2

• 150.8

• 282.7

• 200.1

How do you find the radius if you are given the diameter of a cone?

• Multiply the diameter by 2

• Use the diameter as is

• Square the diameter

• Divide the diameter by 2

What is the surface area of a cone with a radius of 7 and a slant height of 30, rounded to the nearest tenth?

• 813.7

• 628.3

• 350.1

• 415.8