Answer:
3054
Step-by-step explanation:
The formula for cylinder volume is
V1 = π * r^2 *h
while formula for sphere volume is
V2= 4/3 * π * r^3
Since the height of the cylinder is 12, we can substitute h the equation into
V1 = π * r^2 *12
The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.
V1= V2
π * r^2 *12 = 4/3 * π * r^3
12 = 4/3 * r
r= 12*3/4
r=9
After we find the radius, we can find the sphere volume
V2= 4/3 * π * r^3
V2= 4/3 * π * 9^3
V2= 3053.62 = 3054
Each piece of licorice will be 2.4 inches
Work: 2/3 yard = 2 feet = 24 inches ÷ 10 = 2.4 inches
Answer:
Freezer A is better option as price per cubic foot is less for Freezer A
Step-by-step explanation:
Data provided in the question:
Measure of Freezer A = 1 ft × 1 ft × 5 ft
Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft
Price of Freezer A = $300
Price of Freezer B = $600
Now,
Volume of Freezer A = 1 ft × 1 ft × 5 ft
= 5 ft³
Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft
= 9 ft³
Now,
Price per cubic foot for Freezer A = $300 ÷ 5 ft³
= $60/ft³
Price per cubic foot for Freezer B = $600 ÷ 9 ft³
= $66.67/ft³
Hence,
Freezer A is better option as price per cubic foot is less for Freezer A
14 / 45
56 / 100 reduces to 14 / 45
