Question

If $\sqrt[3]{3675+a}=15$ ,then find the cube root of $\frac{a}{100}.$

• A. $6$
• B. $3$
• C. $8$
• D. $15$

Answer 1

The correct option is B $3$

Cubing both the sides

$675+a={15}^3=3375$

$⟹a=2700$
$⟹\frac{a}{100}=27$
$⟹\sqrt[3]{3\frac{a}{100}}=\sqrt[3]{327}=3$