A cylindrical tank has a capacity of 770 m3 and the radius of the base is 14 m. Find itsdepth.
Question
A cylindrical tank has a capacity of 770 m³ and the radius of the base is 14 m. Find its depth.
Solution
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height (or depth in this case).
We know the volume V is 770 m³ and the radius r is 14 m. We need to find the depth h.
Rearranging the formula to solve for h gives us h = V / (πr²).
Substituting the given values into the formula gives us h = 770 / (π * 14²).
Calculating this gives us h ≈ 1.25 m. So, the depth of the cylindrical tank is approximately 1.25 meters.
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