Question 57
What is the height of a cylinder whose radius of the base is 12 cm and volume is 19008 $$cm^{3}$$? [Use $$\pi = \frac{22}{7}$$]
Solution
A cylinder whose radius of the base is 12 cm and volume is 19008 $$cm^{3}$$.
Volume of cylinder = $$\pi\ \times\left(radius\right)^2\times\ height$$
$$19008=\frac{22}{7}\times\left(12\right)^2\times\ height$$
$$19008=\frac{22}{7}\times144\times\ height$$$$132=\frac{22}{7}\times\ height$$
$$6=\frac{1}{7}\times\ height$$
height of a cylinder = $$6\times7$$ = 42 cm
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