Question 13

waecmaths question: 

The volume of a cylindrical tank, 10m high is 385m3. Find the diameter of the tank [Take $\pi =\tfrac{22}{7}$]

Option A: 

14m

Option B: 

10m

Option C: 

7m 

Option D: 

5m

waecmaths solution: 

$\begin{align}  & V=385{{m}^{3}} \\ & h=10m \\ & V=\pi {{r}^{2}}h \\ & 385{{m}^{3}}=\tfrac{22}{7}\times {{r}^{2}}\times 10 \\ & {{r}^{2}}=\frac{385{{m}^{3}}\times 7}{22\times 10m}=\frac{49}{4}c{{m}^{2}} \\ & r=\sqrt{\frac{49}{4}{{m}^{2}}}=\frac{7}{2}m \\ & diameter=2\times radius=2\times \frac{7}{2}m=7m \\\end{align}$

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