Question

a mound of sand at a rock-crushing plant is growing over time. the equation $t = \sqrt3{5v - 1}$ gives the time, $t$, in hours, at which the mound has volume $v$, in cubic meters. when is the volume equal to 549 $m^3$?
a. 10 hours
b. 4 hours
c. 20 hours
d. 14 hours

Explanation:

Step1: Substitute $V=549$ into formula

$t = \sqrt[3]{5\times549 - 1}$

Step2: Calculate inside the cube root

$5\times549 - 1 = 2745 - 1 = 2744$

Step3: Compute cube root of 2744

$\sqrt[3]{2744} = 14$

Answer:

D. 14 hours