Question

A can holds 753.6 cubic centimeters of juice. The can has a radius

of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D

Answer 1

result = 15cm

Explanation:

Hi! to can solve this, we have to keep in mind this formulas:

1) Area of a circuference:

A1 = π
`r^(2)` ; where r = radius

2) Area of a cylinder:

A2 = (π
`r^(2)`) * (h) ; where h= height

now we solve:

first, we have to calculate the area of the circumference

A1 =
`(3.14)*(4cm)^(2)` =
`50.24cm^(2)`

then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:

A2 = (π
`r^(2)`) * (h)

`753.6cm^(3)` =
`50.24cm^(2)` * (h)

`( 753.6cm^(3) )/(50.24cm^(2) )` = h

h = 15cm