Exploring Volume of Cylinders, Cones, and Spheres

What shape's volume is calculated using the formula PI R squared H?

• Cylinder

• Cone

• Sphere

• Hemisphere

What is the key difference between the formulas for the volume of a cylinder and a cone?

• The cone formula uses 2/3 instead of 1/3.

• The cylinder formula includes the height, but the cone does not.

• The cone formula is multiplied by 1/3.

• The cylinder formula uses 4/3 instead of 1/3.

What does the 'R' in the volume formulas stand for?

• Range

• Radius

• Revolution

• Rectangle

When calculating the volume of a cylinder, how should the answer be presented?

• Only in terms of pi

• In terms of pi and as a decimal

• Only as a decimal

• In terms of pi and as a whole number

What adjustment is made when the given diameter instead of the radius?

• Square the diameter

• Multiply the diameter by 2

• No adjustment needed

• Divide the diameter by 2

What is the purpose of writing the formula at the start of solving each problem?

• To make the problem look longer

• To help memorize the formula

• To confuse the students

• It is a requirement for all math problems

How is 1/3 handled in calculations if the calculator does not have a fraction button?

• Typing 0.333 repeatedly

• Multiplying by 3 instead

• Using the division symbol

• Ignoring the fraction

Why is it important to use the pi button on calculators for state tests?

• It is faster than typing 3.1416

• Answers will differ if 3.1416 is used

• The pi button does not work on state tests

• Using 3.1416 is considered cheating

What formula is used to calculate the volume of a sphere?

• PI R squared H

• 1/3 PI R squared H

• 4/3 PI R cubed

• PI R cubed

How is the volume of a hemisphere calculated differently from a full sphere?

• By dividing the sphere's volume by 2

• By multiplying the sphere's volume by 2

• No difference in calculation

• Using a different formula