A cylindrical tank has a capacity of 4774 \(m^3\). If the radius of the base is 7 m, what is the depth?
A cylindrical tank has a capacity of 4774 \(m^3\). If the radius of the base is 7 m, what is the depth?( use \(\pi= \frac{22}{7}\))
एक बेलनाकार टंकी का आयतन4774 \(m^3\) है। यदि इसके आधार की त्रिज्या 7 m है, तो इसकी गहराई ज्ञात कीजिए। ( use \(\pi= \frac{22}{7}\))
Detailed Solution & Logic
Correct Answer:
31 m
Solution / समाधान
Volume of a cylinder:
$V = \pi r^2 h$
Given:
Volume $= 4774 , m^3$
Radius $r = 7$ m
$\pi = \frac{22}{7}$
Substituting the values:
$4774 = \frac{22}{7} \times 7 \times 7 \times h$
$4774 = 154h$
$h = \frac{4774}{154}$
$h = 31$
Depth of the tank / टंकी की गहराई:
👉 31 m
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