The dimension of a rectangular tank are 2m by 7m by 11m. If its volume...
MATHEMATICS
WAEC 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
Correct Answer: C. 3\(\frac{1}{2}\)m
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
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