Question

A roll of 100 pennies is in the shape of a right cylinder. Each penny has a diameter of 0.75 inches and a thickness of 0.04 inches. Which expression, when simplified, would be equal to the volume of the roll of pennies in cubic inches?

Answer 1

Answer:

• (B) π(0.75/2)²(4)

Step-by-step explanation:

The volume formula:

• V = πr²h

Given:

• d = 0.75 in ⇒ r = d/2 = 0.75/2 in
• h = 0.04 in

The volume of each penny:

• V = π(0.75/2)²(0.04)

The volume of 100 pennies:

• V = 100*π(0.75/2)²(0.04) = π(0.75/2)²(4)

Correct choice is B

Answer 2

Given :-

• Roll of 100 pennies is in shape of right cylinder .
• Diameter of penny = 0.75 in.
• Thickness = 0.04 in.

To Find :-

• The volume of roll .

Answer :-

As we know that ,

• Volume of cylinder = πr²h

Substitute the values ,

• V = π * (d/2)² * thickness
• V = π *(0.75/2)² * 0.04 in³

Hence for 100 ,

• V = 100 * 0.04 * π * (0.75/2)²
• V = π 4 (0.75/2)²