Question

The volume of a cylindrical can is 15.7 in.3. The diameter is 2 in. Find the height. Use π = 3.14.

Answer 1

5 inches.

Explanation:

hello

assuming the can is perfectly cylindrical, as a circle as base, the volume of the cylinder is

`V=b*h\\`

where b is the base and h is the height

Now, b is the area of the circle

`base= Area\ of\ the\ circle\\Area\ of\ the\ circle=\pi r^(2)`

replacing in the volume equation

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

Step 1

isolate height from this equation , h is the unknown data

`V=\pi r^(2)*h\\(V)/(\pi r^(2)) =h`

Step 2

put the values into the equation

Let

π = 3.14.

V= 15.7 cubic inches

Diameter= 2 inch

we need the radius,so

`D=2r\\r=(D)/(2)\\r=(2 in)/(2)\\r =1\ inch \`

put the values into the equation

`h=(V)/(\pi r^(2)) \\\\\h=(15.7\ cubic\ inches)/( 3.14* (1 inch)^(2))} \\\\h=5\inches \\`

the height is 5 inches

Have a great day.