An empty rectangular tank is 70 cm long and 50 cm wide. It is being filled with water flowing from a tap at a rate of 10000 ml per minute . If it takes 14 minutes to fill the tank to its brim, find the height of the tank.
+26387 An empty rectangular tank is 70 cm long and 50 cm wide. It is being filled with water flowing from a tap at a rate of 10000 ml per minute . If it takes 14 minutes to fill the tank to its brim, find the height of the tank.
1.
\(\begin{array}{rcll} V_{\text{tank}} &=& l\cdot w \cdot h \\ V_{\text{tank}} &=& 70\ cm\cdot 50\ cm \cdot h \\ V_{\text{tank}} &=& 3500\ cm^2 \cdot h \\ \end{array}\)
2.
\(\begin{array}{rcll} V_{\text{tank}} &=& \frac{10000\ ml}{\text{min.}} \cdot 14\ \text{min.} \\ V_{\text{tank}} &=& 10000\ ml \cdot 14 \\ V_{\text{tank}} &=& 14 \cdot 10000\ ml \qquad \boxed{ ~ 1\ ml = 1\ cm^3 ~} \\ V_{\text{tank}} &=& 14 \cdot 10000\ cm^3\\ \end{array}\)
3.
\(\begin{array}{rclcl} V_{\text{tank}} = 3500\ cm^2 \cdot h &=& 14 \cdot 10000\ cm^3\\ 3500\ cm^2 \cdot h &=& 14 \cdot 10000\ cm^3\\ h &=& \frac{ 14 \cdot 10000\ cm^3} {3500\ cm^2} \\ h &=& \frac{ 14 \cdot 10000} {3500}\ cm \\ h &=& 40 \ cm\\ \end{array}\)
The height of the tank is 40 cm
+2498 Vrectangular=L*W*H
Vrectangular-capacity
L-long
W-wide
H-height
if it fulls it in 14 minutes in rate of 10000 ml per minute so after 14 minutes:
14*10000=140000
140000=Vrectangular
So we know:
140000=70*50*H
H=140000/(70*50)
H=40
Answer:40
+26387 An empty rectangular tank is 70 cm long and 50 cm wide. It is being filled with water flowing from a tap at a rate of 10000 ml per minute . If it takes 14 minutes to fill the tank to its brim, find the height of the tank.
1.
\(\begin{array}{rcll} V_{\text{tank}} &=& l\cdot w \cdot h \\ V_{\text{tank}} &=& 70\ cm\cdot 50\ cm \cdot h \\ V_{\text{tank}} &=& 3500\ cm^2 \cdot h \\ \end{array}\)
2.
\(\begin{array}{rcll} V_{\text{tank}} &=& \frac{10000\ ml}{\text{min.}} \cdot 14\ \text{min.} \\ V_{\text{tank}} &=& 10000\ ml \cdot 14 \\ V_{\text{tank}} &=& 14 \cdot 10000\ ml \qquad \boxed{ ~ 1\ ml = 1\ cm^3 ~} \\ V_{\text{tank}} &=& 14 \cdot 10000\ cm^3\\ \end{array}\)
3.
\(\begin{array}{rclcl} V_{\text{tank}} = 3500\ cm^2 \cdot h &=& 14 \cdot 10000\ cm^3\\ 3500\ cm^2 \cdot h &=& 14 \cdot 10000\ cm^3\\ h &=& \frac{ 14 \cdot 10000\ cm^3} {3500\ cm^2} \\ h &=& \frac{ 14 \cdot 10000} {3500}\ cm \\ h &=& 40 \ cm\\ \end{array}\)
The height of the tank is 40 cm
