Question

the volume of a cylinder is 126π ft³ and the radius of the circle base is 6 ft. what is the height of the cylinder? v = bh 126π = (6)²(π)(h) 126π = 36π(h) 126 = 36(h) = h 21 ft 7 ft 3.5 ft 2 ft

Explanation:

Step1: Solve for \( h \)

Given \( 126 = 36h \), divide both sides by 36.
\( h=\frac{126}{36} \)

Step2: Simplify the fraction

\( \frac{126\div18}{36\div18}=\frac{7}{2}=3.5 \)

Answer:

\( 3.5\ \text{ft} \)