Candle Volume and Geometry Problems

The video tutorial addresses a word problem involving the volume of a cylinder. It describes a scenario where a company makes wax candles shaped like cylinders, each with a radius of four inches and a height of three inches. Given a total wax volume of 7988.16 cubic inches, the task is to determine how many candles can be made. The solution involves calculating the volume of one candle using the formula for the volume of a cylinder, then dividing the total wax volume by the volume of one candle to find the number of candles produced. The tutorial emphasizes using 3.14 for pi and not rounding the answer.

What shape are the wax candles made by the company?

• Sphere

• Cone

• Cylinder

• Cube

What is the radius of each candle?

• 3 inches

• 4 inches

• 5 inches

• 6 inches

What is the height of each candle?

• 2 inches

• 3 inches

• 5 inches

• 4 inches

How much total wax does the company have?

• 7500 cubic inches

• 8000 cubic inches

• 7000 cubic inches

• 7988.16 cubic inches

What is the first step in solving the problem?

• Determine the height of the candle

• Measure the radius of the candle

• Calculate the volume of one candle

• Find the total wax volume

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

• Length times width times height

• Area of base times height

• 4/3 πr³

• Base times height divided by 2

What is the area of the base of the candle?

• 2π times radius

• π times height

• π times diameter

• π times radius squared

What is the volume of one candle?

• 150.72 cubic inches

• 160.72 cubic inches

• 140.72 cubic inches

• 130.72 cubic inches

What is the next step after finding the volume of one candle?

• Multiply the total wax volume by the volume of one candle

• Add the total wax volume to the volume of one candle

• Subtract the volume of one candle from the total wax volume

• Divide the total wax volume by the volume of one candle

How many candles can be made from the total wax?

• 60

• 50

• 53

• 55