Pot volume comparison

Calculate the volume of the two pots and compare them. The first pot is 40 cm high, and the diameter of its bottom is 24 cm. The second pot is 24 cm tall, and the diameter of its base is 40 cm.

Final Answer:

V₁ =  18095.5737 cm³
V₂ =  30159.2895 cm³

Step-by-step explanation:

$$\begin{gathered} h_1=40\text{cm} \\ {D}_1=24\text{cm} \\ {V}_1=h_1\pi \cdot (D_1/2{)}^2=40\cdot 3.1416\cdot (24/2{)}^2=18095.5737{\text{cm}}^3 \end{gathered}$$

$$\begin{gathered} h_2=24\text{cm} \\ {D}_2=40\text{cm} \\ {V}_2=h_2\pi \cdot (D_2/2{)}^2=24\cdot 3.1416\cdot (40/2{)}^2\doteq 30159.2895 \\ {V}_2=V_2>V_1=30159.2895{\text{cm}}^3 \end{gathered}$$

Try another example