Water Tower and Candle Calculations

The video tutorial covers modeling geometric shapes, focusing on candles shaped as cones and a water tower composed of a hemisphere, cylinder, and cone. It includes calculating the volume of 100 candles, the cost of wax, and the profit from selling them. Additionally, it explains how to determine the volume of a water tower and assess if it can hold a specified weight of water without exceeding limits.

What is the radius of the mold used for making the candles?

• 1.5 inches

• 3 inches

• 2 inches

• 4 inches

How is the total volume of 100 candles calculated?

• By multiplying the volume of one candle by 100

• By adding the height and diameter of one candle

• By dividing the diameter by the height

• By subtracting the radius from the height

What is the cost of wax per ounce?

• 10 cents

• 15 cents

• 5 cents

• 20 cents

How much does Walter spend on wax for 100 candles?

• $105.50

• $100.00

• $98.02

• $95.00

What is Walter's total cost before selling any candles?

• $135.85

• $150.00

• $120.00

• $140.00

What is Walter's profit after selling 100 candles?

• $70.00

• $50.00

• $59.15

• $65.00

What shapes make up the water tower?

• Hemisphere, cylinder, and cone

• Sphere, cube, and pyramid

• Cylinder, cube, and cone

• Hemisphere, sphere, and cylinder

What is the total volume of the water tower?

• 7,800 cubic feet

• 7,500 cubic feet

• 7,650 cubic feet

• 8,000 cubic feet

What is the maximum weight the water tower can hold?

• 400,000 pounds

• 450,000 pounds

• 500,000 pounds

• 350,000 pounds

Can the water tower be filled to 85% of its volume without exceeding the weight limit?

• No, it exceeds the limit

• No, it is far below the limit

• Yes, it is within the limit

• Yes, but only if the water is lighter