Question

Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi inches squared, and multiplied that by the height of 3 inches for a total volume of 12 pi inches cubed. Explain the error Tommy made when calculating the volume of the can.

Answer 1

Sample response: Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches.

Explanation:

Answer 2

• Tommy used diameter instead of radius in calculation

Explanation:

Given

• d = 2 inches
• h = 3 inches

To find

• Volume of the can

Solution

Volume formula:

• V = πr²h

Calculation

• V =π(d/2)²h = π(2/2)²(3) = 3π in²

Tommy's error is squaring the diameter instead of radius