Question

Find the volume of the recycled material used in making the solid as shown in figure. It is given that diameter of cylinder is 20 cm and diameter of each of two equal conical cavity is 10 cm. What values are reflected by using recycled material ?

Answer 1

Volume of cylinder = $\pi r^{2}n=\pi (10cm{)}^2\times 24cm$

$=\pi 2400c{m}^3$

Volume of the two cores $=\frac{1}{3}\times 2\pi r^{2}h$

$=2\times \frac{1}{3}\pi r^{2}h$

$=2\times \frac{1}{3}\pi (5{)}^2\times 12cm$

$=2\times 25\pi \times 4c{m}^3$

$=200\pi c{m}^3$

Volume of the object $=(2400\pi -200\pi )c{m}^3$

$=2200\pi c{m}^3$

$=2200\times \frac{22}{7}c{m}^3$

$=6914.25c{m}^3$