Question

Volume of a cone is $6280cubiccm$ and base radius of the cone is $30cm$. Find its perpendicular height.$(\pi =3.14)$

• A. $5.66cm$
• B. $0.66cm$
• C. $6.66cm$
• D. $5.34cm$

Answer 1

The correct option is C $6.66cm$

Given that: $r=30cm,$.

Also, Volume of cone $=6280c{m}^3$.

$⟹$ $\pi \times r^2\times \frac{h}{3}=6280$

$⟹$$\frac{22}{7}\times {30}^2\times \frac{h}{3}=6280$

$⟹$$\frac{22}{7}\times 900\times \frac{h}{3}=6280$

$⟹$$h=6.66cm.$

Hence, option $C$ is correct.