5. Sarah and Aarnav had a 3-layer wedding cake made for their wedding. Each layer was 6 inches in height. The lower layer had a diameter of 12 inches, while the middle layer had a radius of 5 inches. The top layer had a diameter of 8 inches. a) Calculate the total volume of cake to the nearest cubic inch. (3 marks)

b) The baker who made the cake needed to calculate the total surface area of the outside of the cake to the nearest square inch to find out how much icing to buy. The baker will not be icing the bottom of any of the layers of cake. However, the baker will ice the top and sides of each layer separately and then stack the three layers of cake. Calculate the surface area of the cake that the baker plans to ice to the nearest square inch. (3 marks)

c) The baker bought the buttercream icing from Crave Cupcakes. Using your surface area calculation from part b, calculate how many containers of icing the baker needs to buy in order to ice Sarah and Aarnav’s cake. Each container of icing contains 16 ounces of icing. If it takes 56 ounces of icing to cover 678 square inches of cake, calculate the total cost for the icing before tax if each 16-ounce (2 cup) container of icing costs $10. (3 marks)

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.