6. A cylindrical oatmeal canister has a diameter of 4 inches and a hight of 10 inches. The manufac- turing company wants to package the oatmeal in square containers to cut back on wasted storage
space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have,
to the nearest % inch, to hold the same volume of oatmeal? Use 3.14 for the value of T.
a. 7 3/4 inches
b. 8 inches
c. 8 1/4 inches
d. 8 1/2 inches
e. 8 3/4 inches

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

hi

step-by-step explanation:

option c is correct.

step-by-step explanation:

the rule regarding the sides of triangle is:

(length of longest side)^2 = square of sum of other two sides.

the sides given are:

6, 10 and 8.

applying the rule we will get:

(10)^2 = (6)^2 + (8)^2

100 = 36+64

100 = 100

so, her answer is incorrect.

no, she should have added 6^2 and 8^2 and compared that to 10^2.

so, option c is correct.