Question

The capacity of a closed cylindrical water tank is $9.24$ kiloliters if the height of the cylinder is $1.5$m, what is its radius?

• A. $1.4m$
• B. $14m$
• C. $7m$
• D. $0.7m$

Answer 1

The correct option is A $1.4m$

Capacity $=9.24kl=9.24m^3$

Volume of cylinder $=\pi r^{2}h$

$\Rightarrow 9.24=\frac{22}{7}\times r^2\times 1.5$

$r^2=9.24\times \frac{7}{22\times 1.5}$

$\Rightarrow r^2=\frac{9.24\times 7}{22\times 1.5}$

$\Rightarrow r^2=1.96$

$\therefore r=1.4m$