Question

50 POINTS!!!!

A company makes cylindrical cans for peaches. Each can has a radius of 4 centimeters and a height of 12 centimeters. The company plans to increase the
volume of each can by 25%.

a) What will be the height of the new can if the radius remains the same?

b) What will be the radius of the new can if the height remains the same?

*Please show your work*

Answer 1

25% as a decimal is 0.25
multiply 12 and 0.25 12 X 0.25 = 3
add 2 and 3 2+3=5

So that makes the new height 15

the new radius is 4:46

Answer 2

Volume = πr²h

V = π × 4² × 12
V = π × 16 × 12
V = 192π

Original Volume = 192π

25% = 0.25
0.25 × 192 = 48

New Volume = Old Volume + 25% Old Volume
New Volume = 192π + 48π
New Volume = 240π

25% = 0.25
12 × 0.25 = 3

New Height = Old Height + 25% Old Height
New Height = 12 + 3
New Height = 15

V = πr²h
240π = π × r² × 15
240 = 15r²
16 = r²
√16 = √r²
4 = r

New Radius = 4