Find the volume of this perfume bottle: Hint: V= pi x r^2 x h
9 answers
I'm sorry, but you haven't provided the necessary information to calculate the volume of the perfume bottle. The formula you mentioned requires the values for the radius (r) and height (h) of the bottle in order to compute the volume (V). Please provide these values so that I can assist you further.
h=12.4 cm
r=6.2 cm
r=6.2 cm
To find the volume of the perfume bottle, you can use the formula V = π x r^2 x h.
Substituting the given values:
V = π x (6.2 cm)^2 x 12.4 cm
Calculating:
V = π x 38.44 cm^2 x 12.4 cm
V ≈ 1,506.394 cm^3
Therefore, the volume of the perfume bottle is approximately 1,506.394 cm^3.
Substituting the given values:
V = π x (6.2 cm)^2 x 12.4 cm
Calculating:
V = π x 38.44 cm^2 x 12.4 cm
V ≈ 1,506.394 cm^3
Therefore, the volume of the perfume bottle is approximately 1,506.394 cm^3.
Find the volume of this perfume bottle: Hint: V =1/3 pi x r^2 x h
same size as before, but a cone
same size as before, but a cone
To find the volume of a cone-shaped perfume bottle, you can use the formula V = (1/3)πr^2h.
Substituting the given values:
V = (1/3)π(6.2 cm)^2(12.4 cm)
Calculating:
V = (1/3)π(38.44 cm^2)(12.4 cm)
V = (1/3)(3.14159)(38.44 cm^2)(12.4 cm)
V ≈ 608.729 cm^3
Therefore, the volume of the cone-shaped perfume bottle is approximately 608.729 cm^3.
Substituting the given values:
V = (1/3)π(6.2 cm)^2(12.4 cm)
Calculating:
V = (1/3)π(38.44 cm^2)(12.4 cm)
V = (1/3)(3.14159)(38.44 cm^2)(12.4 cm)
V ≈ 608.729 cm^3
Therefore, the volume of the cone-shaped perfume bottle is approximately 608.729 cm^3.
Find the volume of this perfume bottle: Hinit: V = 4/3 pi x r^3
*
r=6.2 and also a sphere
*
r=6.2 and also a sphere
To find the volume of a sphere-shaped perfume bottle, you can use the formula V = (4/3)πr^3.
Substituting the given value for radius:
V = (4/3)π(6.2)^3
Calculating:
V = (4/3)π(238.328)
V ≈ 1005.31 cubic units
Therefore, the volume of the sphere-shaped perfume bottle is approximately 1005.31 cubic units.
Substituting the given value for radius:
V = (4/3)π(6.2)^3
Calculating:
V = (4/3)π(238.328)
V ≈ 1005.31 cubic units
Therefore, the volume of the sphere-shaped perfume bottle is approximately 1005.31 cubic units.
The cylindrical bottle sells for $54.00, the conical bottle sells for $20.00 and the spherical bottle for $35. What is the best buy per cubic centimeter of perfume? Why?
To determine the best buy per cubic centimeter of perfume, we need to calculate the cost per cubic centimeter for each type of bottle. To do this, we divide the cost of each bottle by its respective volume.
First, let's calculate the volume of each bottle:
Cylindrical bottle:
Given that the height (h) is 12.4 cm and the radius (r) is 6.2 cm, we can calculate the volume using the formula V = πr^2h:
V = π(6.2 cm)^2(12.4 cm)
V ≈ 1,506.394 cm^3
Conical bottle:
Given that the height (h) is 12.4 cm and the radius (r) is 6.2 cm, we can calculate the volume using the formula V = (1/3)πr^2h:
V = (1/3)π(6.2 cm)^2(12.4 cm)
V ≈ 608.729 cm^3
Spherical bottle:
Given that the radius (r) is 6.2 cm, we can calculate the volume using the formula V = (4/3)πr^3:
V = (4/3)π(6.2 cm)^3
V ≈ 1005.31 cm^3
Now let's calculate the cost per cubic centimeter for each bottle:
Cylindrical bottle:
Cost per cm^3 = $54.00 / 1,506.394 cm^3
Cost per cm^3 ≈ $0.0358
Conical bottle:
Cost per cm^3 = $20.00 / 608.729 cm^3
Cost per cm^3 ≈ $0.0328
Spherical bottle:
Cost per cm^3 = $35.00 / 1005.31 cm^3
Cost per cm^3 ≈ $0.0348
Based on these calculations, the cylindrical bottle has the highest cost per cubic centimeter of perfume at approximately $0.0358/cm^3. The conical bottle has the lowest cost per cubic centimeter at approximately $0.0328/cm^3. Therefore, the conical bottle is the best buy per cubic centimeter of perfume. This means that for every cubic centimeter of perfume, the conical bottle provides the lowest cost compared to the other two options.
First, let's calculate the volume of each bottle:
Cylindrical bottle:
Given that the height (h) is 12.4 cm and the radius (r) is 6.2 cm, we can calculate the volume using the formula V = πr^2h:
V = π(6.2 cm)^2(12.4 cm)
V ≈ 1,506.394 cm^3
Conical bottle:
Given that the height (h) is 12.4 cm and the radius (r) is 6.2 cm, we can calculate the volume using the formula V = (1/3)πr^2h:
V = (1/3)π(6.2 cm)^2(12.4 cm)
V ≈ 608.729 cm^3
Spherical bottle:
Given that the radius (r) is 6.2 cm, we can calculate the volume using the formula V = (4/3)πr^3:
V = (4/3)π(6.2 cm)^3
V ≈ 1005.31 cm^3
Now let's calculate the cost per cubic centimeter for each bottle:
Cylindrical bottle:
Cost per cm^3 = $54.00 / 1,506.394 cm^3
Cost per cm^3 ≈ $0.0358
Conical bottle:
Cost per cm^3 = $20.00 / 608.729 cm^3
Cost per cm^3 ≈ $0.0328
Spherical bottle:
Cost per cm^3 = $35.00 / 1005.31 cm^3
Cost per cm^3 ≈ $0.0348
Based on these calculations, the cylindrical bottle has the highest cost per cubic centimeter of perfume at approximately $0.0358/cm^3. The conical bottle has the lowest cost per cubic centimeter at approximately $0.0328/cm^3. Therefore, the conical bottle is the best buy per cubic centimeter of perfume. This means that for every cubic centimeter of perfume, the conical bottle provides the lowest cost compared to the other two options.