165k views
5 votes
Jeffrey is buying mulch for a circular flower garden with a diameter of 12 feet. The layer of mulch needs to be 4 inches thick. What is the volume of mulch needed for the flower garden?

2 Answers

1 vote

Final answer:

The volume of mulch needed for the flower garden is approximately 37.68 cubic feet.

Step-by-step explanation:

To find the volume of mulch needed for a circular flower garden, we first need to calculate the volume of the garden. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the radius is half the diameter, so r = 12/2 = 6 feet. The height is the thickness of the mulch, which is 4 inches or 4/12 = 1/3 feet. Plugging these values into the formula, we get V = π(6)^2(1/3). To simplify further, we can use the approximate value of π as 3.14. Therefore, the volume of mulch needed for the flower garden is approximately 37.68 cubic feet.

User Silas Paul
by
7.1k points
3 votes

For anyone doing the USA test prep the correct answer is 37.7 cubic feet!

User JimPri
by
8.8k points