Question

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

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

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

$=622.381c{m}^3$

Hence, the given statement is false.