How to determine the volume of a cone by finding the height first

The video tutorial explains how to find the volume of a cone. It begins by introducing the problem and the formula for the volume of a cone, which is 1/3 times the area of the base times the height. The tutorial then focuses on finding the radius of the base using trigonometric functions, specifically the tangent of 66 degrees, as the given triangle is not a special right triangle. After calculating the radius, the tutorial demonstrates how to plug the values into the volume formula to find the final volume of the cone, which is 1,206.4 cubic millimeters.

What is the formula for the volume of a cone?

• Volume = 1/3 πr²h

• Volume = 2πrh

• Volume = πr²h

• Volume = 1/2 πr²h

Which trigonometric function is used to find the radius when given the opposite side and angle?

• Sine

• Cosine

• Tangent

• Secant

What is the value of the radius 'r' when calculated using the tangent of 66 degrees?

• 9.0

• 8.0

• 7.0

• 6.5

What is the final volume of the cone in cubic millimeters?

• 1,500.5

• 1,000.0

• 1,800.8

• 1,206.4

Why is the volume of the cone expressed in cubic millimeters?

• Because volume is a two-dimensional measure

• Because volume is a three-dimensional measure

• Because volume is a one-dimensional measure

• Because volume is a four-dimensional measure