Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: [tex] \pi \approx3.14[/tex]
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?
Calculate the volume of the paint bucket (its formed being cylindrical), we have:
[tex]V = \pi *r^2*h [/tex]
[tex]V = 3.14 *3.5^2*8 [/tex]
[tex]V = 3.14*12.25*8[/tex]
[tex]\boxed{V = 307.72\:in^3}[/tex]
What was the total cost of the paint?
price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72
It is made the rule of three: (directly proportional)
[tex] \frac{0.05}{y} = \frac{1}{307.72} [/tex]
multiply cross
[tex]1*y = 0.05*307.72[/tex]
[tex]y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark[/tex]
Answer:
the total cost of the paint is $15
