You baked 36 cookies. One cookie has a diameter of 7 cm and is 15 mm thick. You must pack 12 cookies in a rectangular or cylindrical box. Determine the height of 12 cookies in centimetres.
10(12 * 15) = ________ centimetres
Hmmm. Seems to me that we want
(12*15)/10
Ooops! I goofed again!
Thanks, Steve.
1,260 but not sure
7cm*15mm*12cookies= 1260 cm
To determine the height of 12 cookies in centimeters, we first need to calculate the total height of one cookie and then multiply it by 12.
First, let's convert the thickness of the cookie from millimeters to centimeters. Since there are 10 millimeters in a centimeter, the thickness of the cookie in centimeters is 15 mm / 10 = 1.5 cm.
Next, let's calculate the volume of one cookie. The volume of a cylinder can be calculated using the formula:
V = π * r^2 * h
where V is the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cookie (half of the diameter), and h is the height of the cookie.
The radius of the cookie is 7 cm / 2 = 3.5 cm.
Therefore, the volume of one cookie is V = 3.14 * (3.5 cm)^2 * 1.5 cm.
Now, let's calculate the volume of 12 cookies by multiplying the volume of one cookie by 12:
Total volume = 3.14 * (3.5 cm)^2 * 1.5 cm * 12.
Finally, to find the height of 12 cookies, we need to rearrange the formula for volume:
h = total volume / (π * r^2).
By substituting the values, we get:
h = (3.14 * (3.5 cm)^2 * 1.5 cm * 12) / (3.14 * (3.5 cm)^2).
Simplifying the equation, we can cancel out the π and (3.5 cm)^2 terms:
h = (1.5 cm * 12) / 1.
Therefore, the height of 12 cookies is 1.5 cm * 12 = 18 cm.