Calculating Volume and Surface Area of Cones

This video tutorial explains how to calculate the volume and surface area of a cone. It begins with the formula for the volume of a cone, which is one-third the volume of a cylinder, and demonstrates how to find the volume using the radius and height. An example is provided where the diameter and height are given, and the radius is calculated. The video then transitions to surface area, explaining the need for the slant height and how to find it using the Pythagorean theorem if not given. Another example is shown to calculate the surface area using the formula, emphasizing the importance of using a calculator for accuracy.

What is the formula to calculate the volume of a cone?

• 1/3 PI R squared H

• PI R squared H

• 2/3 PI R squared H

• PI R H

If the diameter of a cone is 14, what is the radius?

• 3.5

• 28

• 14

• 7

What units are used for measuring the volume of a cone?

• Kilograms

• Linear units

• Cubic units

• Square units

If the height of a cone is 20 and the diameter is 14, what is the volume?

• 1006.3 cubic inches

• 1062.3 cubic inches

• 1026.3 cubic inches

• 1036.2 cubic inches

What is the correct way to input the formula for volume in a calculator?

• Input each addition separately

• Input the entire formula at once

• Input each multiplication separately

• Input each division separately

Which mathematical constant is recommended to use in the formulas instead of its approximate value?

• PI

• e

• sqrt(2)

• ln(10)

How do you find the slant height of a cone if only the height and radius are given?

• Using the Pythagorean theorem

• Multiplying the radius by two

• Dividing the height by the radius

• Adding the radius to the height

What is the surface area formula for a cone?

• PI R L

• PI R squared

• PI R squared + PI R L

• 2 PI R L

What additional measurement is needed to calculate the surface area of a cone besides the radius?

• Base area

• Diameter

• Volume

• Slant height

If the radius is 3 and the slant height is 9, what is the surface area of the cone?

• 101.3 cm squared

• 111.3 cm squared

• 131.1 cm squared

• 113.1 cm squared