Question

In a rain-water harvesting system, the rain. water from a roof of 22 m X 20 m drains into a cylindrical tank having diameter of base 2 m and heigth 3.5 m. If the tank is full, find the rainfall in cm.​

Answer 1

$\sf\large{\underline{\underline{\red{Solution:-}}}}$

$\sf{Volume \:of \:water\: collected\: in\: the\: system = Volume }$$\sf{of\: cylindrical \:tank }$

$\sf{\underline{\fbox{\color{green}{ L\times B \times H = pie \:r^2 \:h }}}}$

$\tt{\implies 22 \times 20 \times H = \dfrac{22}{7} \times 1 \times 1 \times 3.5 }$

$\tt{\implies 22 \times 20 \times H = 11}$

$\tt{\implies H = \dfrac{11}{22\times 20}}$

$\tt{\: \: \: \: \: \: \:= \dfrac{1}{40} \:m}$

$\tt{\: \: \: \: \: \: \:= \dfrac{1}{40} \times 100}$

$\tt{\: \: \: \: \: \: \:= \dfrac{5}{2}}$

$\tt{ \: \: \: \: \: \: \: = 2.5}$

$\sf{\underline{\fbox{\color{blue}{Hence,\:Rainfall \:on \:system = 2.5\:cm}}}}$