Question on: WAEC Mathematics - 2015
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
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Correct Option: 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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