A cone shaped container on a farm is used for storing animal feed. The container has a radius of 4 feet and a height of 12 feet. What volume of feed, in cubic feet, can the container store? Round your answer to the nearest hundredth. Use 3.14 for pi. Why is the answer 200.96 and NOT 201.06

Answer 1

To find the volume of the cone-shaped container, we can use the formula:

Volume = (1/3) * π * radius^2 * height

Plugging in the given values, we get:

Volume = (1/3) * 3.14 * 4^2 * 12
= (1/3) * 3.14 * 16 * 12
= (1/3) * 3.14 * 192
≈ 201.06

So, the volume of the container is approximately 201.06 cubic feet.

However, when rounding to the nearest hundredth, we look at the digit following the hundredth place, which is 0.06 in this case. Since this value is less than 0.5, we round down.

Hence, the rounded volume is 201.06 when rounded to the nearest hundredth. However, if we further round this value to the nearest whole number, we get 201.

Therefore, the volume of the feed that the container can store is 201.06 cubic feet, not 200.96.