The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take $\pi = \frac{22}{7}$ ]

14cm

3 $\frac{1}{2}$ m

1 $\frac{3}{4}$ m

Correct answer is C

Volume of rectangular tank = L x B x H

= 2 x 7 x 11

= 154cm³

volume of cylindrical tank = $\pi r^2h$

154 = $\frac{22}{7} \times r^2 \times 4$

r² = $\frac{154 \times 7}{22 \times 4}$

= $\frac{49}{4}$

r = $\sqrt{\frac{49}{4}} = \frac{7}{2}$

= 3 $\frac{1}{2}$ m

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The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take $\pi = \frac{22}{7}$ ]

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