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Consider a right circular cylinder for which the following quantities
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Sajjad1994
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Consider a right circular cylinder for which the following quantities [#permalink] New post  10 Feb 2021, 22:30
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Consider a right circular cylinder for which the following quantities are all numerically equal: the volume in cubic centimeters, nine-times the height in centimeters, the area of the circular base in square centimeters.

In the table, select values for Diameter and Height that satisfy the conditions above. Select only one answer in each column.

DiameterHeight------
\(\frac{3}{\sqrt{π}}\)
\(\frac{6}{\sqrt{π}}\)
1
9
\(9\sqrt{π}\)


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Diameter: \(\frac{6}{\sqrt{π}}\)

Height: 1


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Re: Consider a right circular cylinder for which the following quantities [#permalink] New post  15 Feb 2021, 04:52
1
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Let r & h be the radius and height of the cylinder

Volume = 9h = Area of the Base

\(\pi*r^2*h = 9h = \pi*r^2\)

\(\pi*r^2*h = \pi*r^2\)

Height, h=1

\(9h = \pi*r^2\)
\(9 = \pi*r^2\)

\(\frac{9}{\pi} =r^2\)

\(\frac{3}{\sqrt{\pi}} =r\)

Diameter = \(\frac{6}{\sqrt{\pi}}\)
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