Question

a cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around. what is the volume if the water tank? enter your answer as a decimal in the box. use 3.14 for pi.​

Answer 1

The answer is 98470.4

Explanation:

Answer 2

The volume is equal to
`98,470.4\ cm^(3)`

Explanation:

step 1

Find the radius of the base of cylinder

we know that

The circumference of a circle is equal to

`C=2\pi r`

we have

`C=87.92\ cm`

assume

`\pi =3.14`

substitute and solve for r

`87.92=2(3.14)r`

`r=87.92/[2(3.14)]=14\ cm`

step 2

Find the volume of the water tank (cylinder)

The volume is equal to

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

we have

`r=14\ cm`

`h=160\ cm`

assume

`\pi =3.14`

substitute

`V=(3.14)(14)^(2) (160)`

`V=98,470.4\ cm^(3)`