Question

PLS Help me it’s due today

Answer 1

Answer: Using 45π cm^3

a) h = 5 cm

b) approximately $2.83

c) h = 9/5 cm

d) approximately $9.90

Explanation:

a) The volume of a cylinder is given by the formula
`V = \pi r^2h`. Given that the volume is equal to
`45\pi cm^(3)` and radius is
`3cm`, we can plug in.

`45\pi = 3^2h\pi \\45\pi = 9h\pi\\(45\pi )/(9\pi ) = h\\ h = 5`

b) Since coffee costs $0.02 per cubic centimeter, and there are
`45\pi` cubic centimeters, 0.02 x
`45\pi` = 2.8274338, and rounding gives $2.83

c) Using the same formula from part a, we plug in
`5cm` for r instead of
`3cm`.

`45\pi = 5^2h\pi \\45\pi =25h\pi \\(45\pi )/(25\pi ) = h\\h = (45)/(25) = (9)/(5)`

d) Because hot chocolate powder costs $0.07 per cubic centimeter, and there are
`45\pi` cubic centimeters, 0.07 x
`45\pi` = 9.89601685, and rounding makes it $9.90