Question

megan loves to plant sunflowers and plans to fill one of the containers below with soil. the dimensions of each container are shown below. which container holds the largest amount of soil? a.) container a b.) container b c.) container c d.) the containers all have the same volume.

Explanation:

Step1: Calculate the volume of Container A (cylinder)

The formula for the volume of a cylinder is \(V = \pi r^{2}h\). For Container A, \(r = 1.5\) ft and \(h=2.5\) ft.

$$V_A=\pi\times(1.5)^{2}\times2.5=\pi\times2.25\times 2.5 = 5.625\pi\approx5.625\times3.14 = 17.6625$$

Step2: Calculate the volume of Container B (rectangular prism)

The formula for the volume of a rectangular prism is \(V=l\times w\times h\). For Container B, \(l = 2\) ft, \(w = 2\) ft and \(h = 3.5\) ft.

$$V_B=2\times2\times3.5=14$$

Step3: Calculate the volume of Container C (cylinder)

The formula for the volume of a cylinder is \(V=\pi r^{2}h\). For Container C, \(r = 2\) ft and \(h = 1.5\) ft.

$$V_C=\pi\times(2)^{2}\times1.5=\pi\times4\times1.5=6\pi\approx6\times3.14 = 18.84$$

Answer:

C. Container C