Question

Cylinder A has radius r, height h, and a volume of 10 pi cubic units. Cylinder B hastwice the radius and twice the height.hATBWhat is the volume of cylinder B?I2r2h

Answer 1

Volume of a cylinder:

`V=h*r^2*\pi`

For cylinder A:

`10\pi cm^3=h*r^2*\pi`

For cylinder B:

`V_B=2h*(2r)^2*\pi`

Simplify the equation for volumen of cylinder B:

`\begin{gathered} V_B=2h*4r^2*\pi \\ V_B=8*(h*r^2*\pi) \end{gathered}`

in the equation for the volume of cylinder A you have the value of h*r^2*π:

`\begin{gathered} V_B=8*(10\pi cm^3) \\ V_B=80\pi cm^3 \end{gathered}`Then, the volume of cylinder B is 80π cubic centimeters.