Volume Calculations and Formulas

The video tutorial covers the concept of volume for various geometric shapes, including prisms, cylinders, cones, spheres, and pyramids. It provides formulas for calculating the volume of each shape and demonstrates how to apply these formulas through example problems. The tutorial also includes word problems to illustrate practical applications of volume calculations.

What is the formula for the volume of a prism?

• Four-thirds pi times radius cubed

• Pi times radius squared times height

• Base area times height divided by three

• Base area times height

Which shape's volume is calculated using the formula 4/3 * pi * r^3?

• Pyramid

• Cone

• Sphere

• Cylinder

How do you calculate the volume of a triangular prism?

• Base area times height divided by three

• Half the base area times height

• Length times width times height

• Half the base area times height times width

What is the radius of a cone if its diameter is 2?

• 4

• 3

• 2

• 1

Which formula is used to calculate the volume of a cylinder?

• Four-thirds pi times radius cubed

• Pi times radius squared times height

• Half the base area times height

• Base area times height divided by three

What is the formula for the volume of a cone?

• Pi times radius squared times height divided by three

• Base area times height

• Four-thirds pi times radius cubed

• Pi times radius squared times height

If a candle has a diameter of 4 inches and a height of 8 inches, what is its volume?

• 10.48 cubic inches

• 100.48 cubic inches

• 50.24 cubic inches

• 20.96 cubic inches

How many guppies can be kept in an aquarium with 36 liters of water if each requires 5 liters?

• 5

• 8

• 6

• 7

What is the volume of a cylinder with a diameter of 6 and height of 5?

• 141.5 cubic inches

• 150.5 cubic inches

• 160.5 cubic inches

• 170.5 cubic inches

What is the maximum number of guppies that can be kept in an aquarium with 36 liters of water?

• 8

• 6

• 5

• 7