Question

The volume of a cone of radius 7 cm and slant height 14 cm is 7546 $c{m}^3$ .

• A. True
• B. False

Answer 1

The correct option is B

False

From the relation $l^2$ = $h^2$ + $r^2$,

height of cone $h=\sqrt{{14}^2-7^2}$

$=\sqrt{147}$ = 12.1243cm

Volume of a Cone$=\frac{1}{3}\times \pi \times r^{2}h$

$=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 12.1243$

= 622.381$c{m}^3$

Hence the given statement is false.