Question

The volume of a cylinder is 4pieX3 cubic units ad its height is x units. whichexpress represents the radius of the cylinder, in units?

Answer 1

we have given the volume of cylinder and height of the cylinder .

we need to find radius .

we know the formula for volume of cylinder=
`\pi *r^2*h`

we know
`V=4\pi *x^3 cubic units`

we need to equate to find the value of height .

`4\pi *x^3=\pi *r^2*x`

`4x^2=r^2=r=2x` units

where as radius is twice the height