Ratio of the volume of Pot A to the volume of Pot B is equals to [tex]25:1[/tex].
What is volume?
" Volume is defined as the total space occupied by three dimensional geometrical shape enclosed."
Formula used
Volume of cylinder [tex]= \pi r^{2} h[/tex]
According to the question,
Given,
Two similar cylindrical pots
Radius of Pot A [tex]= 15inches[/tex]
Radius of Pot B [tex]= 3inches[/tex]
Consider,
[tex]'h'[/tex] represents the height of the similar Pot A and Pot B.
[tex]V_{1}[/tex] represents the volume of Pot A
[tex]V_{2}[/tex] represents the volume of Pot A
Substitute the value in the formula to get the ratio of the volume of Pot A and Pot B,
[tex]\frac{V_{1} }{V_{2} } = \frac{\pi (!5)^{2} h}{\pi (3)^{2}h } \\\\\implies \frac{V_{1} }{V_{2} } = \frac{15\times 15}{3\times 3} \\\\\implies \frac{V_{1} }{V_{2} } =\frac{25}{1}[/tex]
Hence, Option(B) is the correct answer.
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