the base of a cylindrical juice container is a circle with diameter 20 cm. The height of the container is 80cm. What is the capacity of the juice container? show your work.

b) The juice container will be filled to 90% of its capacity. What will be the volume of juice in the container?
plz help and thx!

the base of a cylindrical juice container is a circle with diameter 20 cm. The height of the container is 80cm. What is the capacity of the juice container?

Pi * r^2 * h = V

3.14 * 10^2 * 80 = ??

For the second part, take 90% of the above answer.

for 10^2, would you just make it 100?

so 3.14 x 100 x 80 = 25129cm^3

My calculator shows 25,120 cm^3

oops, my mistake.thanks for correcting me!:)

this next question gives me the diameter instead of the radius. what do i do when that happens.

height : 10.3m
diameter : 5.8m

Since the diameter is twice the radius, divide the diameter by 2 to get the radius.

alright, thank u! i just have anpther quick question.

The juice company decides to use a box to contain the jice. What is the minimum height of the box if its base measure 10cm by 12cm? how would i do this one?

3xt2

Hi its kinda uh 12 years later but for question B) you have to times You're recent answer by 90%

To find the capacity of the juice container, we need to calculate its volume. The volume of a cylinder is given by the formula:

Volume = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159, r is the radius of the circular base, and h is the height of the cylinder.

a) First, let's find the radius of the base. We are given that the diameter is 20 cm, and we know that the radius is half of the diameter. Therefore, the radius can be calculated as:

Radius = Diameter / 2 = 20 cm / 2 = 10 cm

b) Next, we can substitute the values we found into the volume formula:

Volume = π * (10 cm)^2 * 80 cm

Volume = π * 100 cm^2 * 80 cm

Volume = 80π * 100 cm^3

Now, we can calculate the exact value of the volume by using the approximation of π to 3.14159:

Volume = 80 * 3.14159 * 100 cm^3

Volume ≈ 25132.741973 cm^3

Therefore, the capacity of the juice container is approximately 25132.741973 cm^3.

c) To find the volume of juice in the container when it is filled to 90% of its capacity, we can multiply the capacity by 0.9:

Volume of juice = Capacity * 0.9

Volume of juice ≈ 25132.741973 cm^3 * 0.9

Volume of juice ≈ 22619.467776 cm^3

Therefore, the volume of juice in the container when it is filled to 90% capacity is approximately 22619.467776 cm^3.