Question

the volume of this cylinder is 930.54528 cubic centimeters. what is the height?
round your answer to the nearest hundredth.
8.4cm

h ≈ centimeters

Explanation:

Step1: Identify radius

Radius $r = \frac{8.4}{2} = 4.2$ cm

Step2: Volume formula for cylinder

$V = \pi r^2 h$

Step3: Solve for h

$h = \frac{V}{\pi r^2} = \frac{930.54528}{\pi (4.2)^2}$
Calculate denominator: $\pi (4.2)^2 \approx 3.1416 \times 17.64 \approx 55.4177$
$h \approx \frac{930.54528}{55.4177} \approx 16.79$

Answer:

16.79