Question

Will some help me with this please?? Thank you

Answer 1

Answer: $h=10.50\ in$

Step-by-step explanation:

As the information given in the exercise indicates, the formula that is used to calculate the volume of a cylinder is:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the volume of the can is:

$V=1,188\ in^3$

 And the radius of the base of the can must be the following:

$r=6\ in$

Then, the next step is to subsitute these values into the formula:

$V=\pi r^2h\\\\1,188\ in^3=\pi (6\ in)^2h$

Finally, you must solve for "h", in order to calculate the height that the can must have to  get a radius of 6 inches.

Therefore, this is:

$1,188\ in^3=\pi (6\ in)^2h\\\\\frac{1,188\ in^3}{\pi (6\ in)^2}=h\\\\h=10.50\ in$