Question

Question 2 (i)
Find the capacity in litres of a conical vessel with:
(i) radius 7 cm, slant height 25 cm.
$[Assume\pi =\frac{22}{7}]$

Answer 1

(i) Radius (r) of the cone = 7 cm
Slant height (l) of the cone = 25 cm
Height (h) of the cone $=\sqrt{l^2-r^2}$
$=\left(\sqrt{{25}^2-7^2}\right)cm$
$=24cm$
Volume of cone $=\frac{1}{3}\pi r^{2}h$
$=(\frac{1}{3}\times \frac{22}{7}\times (7{)}^2\times 24)c{m}^3$
$=(154\times 8)c{m}^3$
$=1232c{m}^3$
Therefore, capacity of the conical vessel
$=\left(\frac{1232}{1000}\right)litres(\because 1litre=1000c{m}^3)=1.232litres$