Calculate 46381

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

Correct answer:

V₁ =  18095.5737 cm³
V₂ =  30159.2895 cm³

Step-by-step explanation:

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

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

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