Question

Need answers ASSAP

Alice purchased paint in a bucket with a radius of 3.5 in. and a height of 8 in. The paint cost $0.05 per in³.
What was the total cost of the paint?
Use 3.14 to approximate pi.
Round your answer to the nearest penny.
Enter your answer in the box.

Answer 1

Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt:
`\pi \approx3.14`
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:

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

`V = 3.14 *3.5^2*8`

`V = 3.14*12.25*8`

`\boxed{V = 307.72\:in^3}`

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)


`(0.05)/(y) = (1)/(307.72)`
multiply cross

`1*y = 0.05*307.72`

`y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark`

Answer:
the total cost of the paint is $15