Question

What is the radius of a cylinder with a volume of 3,165.12 cubic centimeters and a height of 7 centimeters?

Answer 1

Answer:

Radius = 12 cm

Step-by-step explanation:

Given:

Volume of the cylinder is, $V=3165.12$ cm³

Height of the cylinder, $h= 7$ cm

Let the radius be $r$

Using the formula for volume of cylinder,

$V=\pi r^2h$

Plug in 3165.12 for $V$, 7 for $h$ and solve for $r$.

$3165.12=\pi r^2(7)\\3165.12=\frac{22}{7}\times 7\times r^2\\3165.12=22r^2\\r^2=\frac{3165.12}{22}\\r^2=143.869\\r=\sqrt{143.869}=11.99\approx=12\textrm{ cm}$

Therefore, the radius of the cylinder is nearly 12 cm.