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

Radius = 12 cm

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=(22)/(7)* 7* r^2\\3165.12=22r^2\\r^2=(3165.12)/(22)\\r^2=143.869\\r=√(143.869)=11.99\approx=12\textrm{ cm}`

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