Jim wants to plant pansies in his new planter. How much potting soil should Jim buy? Round to the nearest centimeter.
Hint: The height is 100 cm and the diameter is 40 cm.
My teacher said to use a specific formula. Out of that formula I got 125,664, but I do not know how to label it. Please help. Also, If each bag contains 14,000cm3, how many bags will Jim have to buy?
Please help me I am stuck!!!
100(pi * r^2)
100(3.14 * 20^2) = 125,664 cm^3
125,664/14,000 = ?
Round up to find the number of bags he needs to buy.
For the number of bags I got 9. However I do not know how to label the number 125,664.
Would I label it cm3 or..? I'm having trouble. :(
The volume of the planter is 125,664 cm^3 (or cubic centimeters). Yes, he needs 9 bags of potting soil.
To calculate the amount of potting soil Jim needs, we first need to find the volume of the planter.
The formula to find the volume of a cylinder is V = πr^2h, where V represents the volume, r is the radius of the base, and h is the height of the cylinder.
In this case, we are given that the diameter of the planter is 40 cm, so we can find the radius by dividing the diameter by 2:
radius (r) = diameter / 2 = 40 cm / 2 = 20 cm
The height of the planter is given as 100 cm.
Now we can plug these values into the formula:
V = π(20 cm)^2 × 100 cm
V = π(400 cm^2) × 100 cm
V = π(40000 cm^3)
V ≈ 125,664 cm^3
So, the volume of the planter is approximately 125,664 cm^3.
Now, to determine the number of bags Jim needs, we're given that each bag contains 14,000 cm^3 of soil.
To find the number of bags, divide the volume of the planter by the volume of each bag:
Number of bags = volume of planter / volume of each bag
Number of bags = 125,664 cm^3 / 14,000 cm^3
Dividing these values, we find:
Number of bags ≈ 8.98
Since we can't buy a fraction of a bag, Jim will need to buy 9 bags of potting soil.
So, Jim should buy approximately 125,664 cm^3 of potting soil, which is equivalent to 9 bags.