A-rectangular-water-tank-is-being-filed-at-the-constant-rate-of-70lt-s-The-base-of-the-tank-has-width-w-9m-and-length-length-l-16m-if-the-volume-of-the-tank-is-v-w-l-h-where-h-is-the-hight-of-the-

Question Number 138217 by otchereabdullai@gmail.com last updated on 11/Apr/21

A rectangular water tank is being filed

at the constant rate of 70 lt / s . The

base of the tank has width w = 9 m

and length length l = 16 m if the volume

of the tank is v = w \times l \times h where h is

the hight of the tank . what is the rate

of change of the hight of water in the

tank

Commented by Dwaipayan Shikari last updated on 11/Apr/21

V = w l h

\Rightarrow \frac{d V}{d t} = w l \frac{d h}{d t} \Rightarrow 70 \frac{l i t r e}{s} = 160 d c m \times 90 d c m \frac{d h}{d t}

\frac{d h}{d t} = \frac{70}{160 \times 90} . \frac{d m}{s} = \frac{7}{14400} . \frac{m}{s}

Commented by otchereabdullai@gmail.com last updated on 11/Apr/21

thank you sir!