Question

Multiple choice: A coins are placed into a treasure chest, and each coin has a radius of 1.6 inches and a height of 0.0625 inches. if there are 170 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? round to the nearest hundredth and approximate using π = 3.14. A. 341.63 in³ B. 1.06.76 in³ C. 85.41 in³

D. 0.50 in³

Answer 1

To find the volume of the coins in the treasure chest, calculate the volume of one coin and multiply it by the number of coins.

Step-by-step explanation:

To calculate the volume of the treasure chest taken up by the coins, we need to find the volume of one coin and multiply it by the number of coins.

The volume of a cylinder is given by the formula V = π × r2 × h, where r is the radius and h is the height.

For one coin, the radius is 1.6 inches and the height is 0.0625 inches. Substituting these values into the formula, we get V = 3.14 × (1.6)2 × 0.0625 = 0.802 in3.

Since there are 170 coins, the total volume of the coins in the treasure chest is 170 × 0.802 = 136.34 in3. Rounded to the nearest hundredth, the answer is approximately 136.34 in³.