Question

A cylinder has a radius of 7 cm and height of 25 mm. If ten such cylinders are stacked up, then the total volume will be .

• A. $9230c{m}^3$
• B. $5640c{m}^3$
• C. $7850c{m}^3$
• D. $3850c{m}^3$

Answer 1

The correct option is D $3850c{m}^3$


Given: Radius of the cylinder, r = 7 cm
Height of the cylinder, h = 25 mm = 2.5 cm

Volume of one cylinder $=\pi r^{2}h$
$=\pi \times (7{)}^2\times 2.5$
$=\frac{22}{7}\times 7^2\times 2.5$
$=22\times 7\times 2.5$
$=385c{m}^3$

Now, ten such cylinders are stacked up to form a big cylinder.

Volume of the bigger cylinder = 10 $\times$ Volume of the small cylinder
$=10\times 385c{m}^3$
$=3850c{m}^3$

$\therefore$ Volume of the cylinder formed by stacking up the small cylinders, is $3850c{m}^3.$