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 \(\pi = \frac{22}{7}\)]
A. 14cm B. 7m C. 3\(\frac{1}{2}\)m D. 1\(\frac{3}{4}\)m
Correct Answer: C
Explanation
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
