Answer:
a) 81π in³
b) 27 in³
c) divide the volume of the slice of cake by the volume of the whole cake
d) 10.6%
e) see explanation
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The cake can be modeled as a <u>cylinder </u>with:
- diameter = 9 in
- height = 4 in



<h3><u>Part (b)</u></h3>

If each slice of cake has an arc length of 3 in, then the volume of each slice is 3/9π of the entire volume of the cake.

<h3><u>Part (c)</u></h3>
The volume of each slice of cake is 27 in³.
The volume of the whole cake is 81π in³.
To calculate the probability that the first slice of cake will have the marble, divide the volume of a slice by the volume of the whole cake:

<h3><u>Part (d)</u></h3>
Probability is approximately 10.6% (see above for calculation)
<h3><u>Part (e)</u></h3>
If the four slices of cake are cut and passed out <em>before </em>anyone eats or looks for the marble, the probability of getting the marble is the same for everyone. If one slice of cake is cut and checked for the marble before the next slice is cut, the probability will increase as the volume of the entire cake decreases, <u>until the marble is found</u>. So it depends upon how the cake is cut and distributed as to whether Hattie's strategy makes sense.
24/6=4
(6x4)+(2x4)+(3x4)=
24+8+12=44=answer!
Answer: He had 48.75 oz of salsa.
Step-by-step explanation:
I guess that Clay is filling 6.5 oz bottles of salsa.
And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:
M = 7.5*6.5 oz = 48.75 oz
This means that Clay had 48.75 ounces of Salsa
A drawn model to show this is seen below.
Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.
I’m pretty sure the answer is 4x+5