Answer: 3630
Step-by-step explanation:
Given that:
Volume of container = 98,000 cubic volume
Volume of cabinet = 27 cubic volume
The number of cabinets which the container will. Hold equals:
Volume of container / volume of cabinet
= 98000 cubic volume / 27 cubic volume
= 3629.6296
The container will hold approximately 3630 27 cubic volume of cabinet.
The balloon has a volume
dependent on its radius
:

Differentiating with respect to time
gives

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

The surface area of the balloon is

and differentiating gives

so that at the moment the radius is 3 m, its area is increasing at a rate of

Answer:
84 ounces
Step-by-step explanation:
Total pounds of popcorn bought = 64 pounds
1/4th kept for family ==> 1/4 * 64 = 16 lbs
Remainder = 64-16 = 48 lbs
1/8th of remainder to club ==> 1/8 * 48 = 6 lbs to club
Remainder left over = 48-6 = 42 lbs
Distributed 42 lbs between each of 8 friends equally
Each friend gets 42/8 lbs = (42/8) * 16 = 84 ounces
Since there are 16 ounces in a pound