Question

Match the volume of the cone of radius 'r' cm, height 'h' cm and slant height 'l' cm in each case .

• A. $88c{m}^3$
• B. $1232c{m}^3$
• C. $66c{m}^3$

Answer 1

Volume of cone = $\frac{1}{3}\pi r^{2}h$

For r = 2 cm and h =21 cm,
Volume of cone,
$V_1=\frac{1}{3}\times \frac{22}{7}\times (2{)}^2\times 21{cm}^3$
$V_1=88c{m}^3$

For r = 3 cm and h =7 cm,
Volume of cone,
$V_2=\frac{1}{3}\times \frac{22}{7}\times (3{)}^2\times 7c{m}^3$
$V_2=66c{m}^3$

For $l=25cm$ and $h=24cm$
$l^2=r^2+h^2$
$r=7cm$
Volume of cone,
$V_3=\frac{1}{3}\times \frac{22}{7}\times (7{)}^2\times 24c{m}^3$
$V_3=1232c{m}^3$