Question

A tank on a road roller is filled with water to make the roller heavy. The tank is a cylinder that has a height of $6$ feet and a radius of $2$ feet. About how many pounds of water can the tank hold? (One cubic foot of water weighs about $62.5$ pounds.)

Answer 1

Step 1: Calculate the volume of cylindrical tank

Pounds that a tank can hold = Volume of cylindrical tank

V = Base area $\times$ Height

$$\begin{gathered} =\mathrm{\pi }{\left(2\right)}^2\left(6\right)\mathrm{Substitute} \\ =24\mathrm{\pi } \end{gathered}$$

Step 2: Calculate volume in ft cubic unit.

$$\begin{gathered} =24*3.14 \\ =75.36f{t}^3 \end{gathered}$$

Volume in ponds $$\begin{gathered} =75.36*62.5 \\ =4710pounds \end{gathered}$$

Hence, Pounds that a water tank can hold is 4710 pounds.