Pressure in fluids and upthrust

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Question 4
Medium

Two vertical, cylindrical fuel storage tanks, Tank P and Tank Q, are filled with diesel fuel of density 830 kg m-3 to the same depth of 15 m. Tank Q has a diameter that is exactly 3.0 times larger than the diameter of Tank P.

What is the ratio of the hydrostatic pressure at the bottom of Tank Q to that of Tank P, pQpP\displaystyle \frac{p_{\text{Q}}}{p_{\text{P}}}pP​pQ​​, and the ratio of the total force exerted by the fuel on the bottom of Tank Q to that of Tank P, FQFP\displaystyle \frac{F_{\text{Q}}}{F_{\text{P}}}FP​FQ​​?

pQpP=1\frac{p_{\text{Q}}}{p_{\text{P}}} = 1pP​pQ​​=1 and FQFP=3\frac{F_{\text{Q}}}{F_{\text{P}}} = 3FP​FQ​​=3

pQpP=3\frac{p_{\text{Q}}}{p_{\text{P}}} = 3pP​pQ​​=3 and FQFP=9\frac{F_{\text{Q}}}{F_{\text{P}}} = 9FP​FQ​​=9

pQpP=1\frac{p_{\text{Q}}}{p_{\text{P}}} = 1pP​pQ​​=1 and FQFP=9\frac{F_{\text{Q}}}{F_{\text{P}}} = 9FP​FQ​​=9

pQpP=9\frac{p_{\text{Q}}}{p_{\text{P}}} = 9pP​pQ​​=9 and FQFP=9\frac{F_{\text{Q}}}{F_{\text{P}}} = 9FP​FQ​​=9

Pressure in fluids and upthrust Questions

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