Question

Find the volume of the material required to make six glue gun sticks, each of length

14 cm and diameter 1 cm. (Use =
22/7)
​

Answer 1

Given:

Length of Glue stick = 14 cm

Diameter, D = 1 cm

We know that Radius, r is half of Diameter.

$r = \dfrac{D}{2}\\\Rightarrow r = \dfrac{1}{2} cm$

To find: The volume of material required to make six such glue sticks.

Solution:

We know that Glue sticks are cylindrical in shape.

Volume of a cylinder is given as:

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

Volume of one such glue stick:

$\Rightarrow \pi (\dfrac{1}{2})^{2} \times 14\\\Rightarrow \dfrac{22}{7}\times \dfrac{1}{4} \times 14\\\Rightarrow V = 11\ cm^{3}$

There are six such glue sticks, hence volume of six glue sticks:

$6 \times V\\\Rightarrow 6 \times 11 = 66\ cm^{3}$