Question

What will be volume of cylinder in which area of base is $30c{m}^2$ and height is 10 cm.

• A. $100c{m}^3$
• B. $200c{m}^3$
• C. $300c{m}^3$
• D. $150c{m}^3$

Answer 1

Answer: (C)

$300c{m}^3$

Formulas for cylinder:

$Basearea=\pi r^2$

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

where,

$r=radius$

$h=height$

$\pi =\frac{22}{7}$

Base area is given as $30c{m}^2$

$\Rightarrow 30=\pi r^2$

$\Rightarrow 30=\frac{22}{7}\times r^2$

$\Rightarrow r^2=\frac{30\times 7}{22}$

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

Height is given as $10cm$

$\Rightarrow Volume=\frac{22}{7}\times r^2\times 10$

Substituting $r^2$ in the formula we get

$\Rightarrow Volume=\frac{22}{7}\times \frac{30\ast 7}{22}\ast 10$

$\Rightarrow Volume=\frac{22}{7}\times \frac{30\times 7}{22}\times 10$

$\Rightarrow Volume=30\times 10$

$\Rightarrow Volume=300c{m}^3$