Step-by-step explanation:
remember. the radius is always half the diameter.
volume of a cylinder
pi × r² × height
pi×7.5²×48 = pi×56.25×48 = 8,482.300165... in³
volume of a sphere
4/3 × pi × r³
and that volume should be the same as the cylinder. so,
4/3 × pi × r³ = pi×56.25×48
4/3 × r³ = 56.25 × 48
1/3 × r³ = 56.25 × 12
r³ = 56.25 × 36 = 7.5² × 6² = (7.5×6)² = 45² = 2025
![r = \sqrt[3]{2025}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B2025%7D%20)
which would be 12.65148998... in.
Answer:
x=-2
Step-by-step explanation:
add 5x , then subtract 45, then divide by 15
To establish this equation we first need to assign some variables.
Let us assign x as the number of hours he has worked
and assign y as the total amount of money that he has earned
Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.
As a side dish, you should plan on 1/2 pound of potatoes per person. That means if you are planning on 10 people, use 5 pounds of potatoes. 4 people, use 2 pounds of potatoes.
