a) The radius of the base of the container is half of the diameter, so it is 10 cm. The formula for the volume of a cylinder is V = πr^2h, where π is approximately 3.14, r is the radius, and h is the height. Substituting the given values, we get:
V = π(10 cm)^2(80 cm)
V = 25,120 cm^3
Therefore, the volume of the juice container is 25,120 cubic centimeters.
b) If the container is filled to 85% of its capacity, that means there is 15% of the capacity left empty. The volume of the empty space is 0.15 times the total volume of the container:
0.15 × 25,120 cm^3 = 3,768 cm^3
To find the volume of the juice in the container, we can subtract this empty volume from the total volume:
25,120 cm^3 - 3,768 cm^3 = 21,352 cm^3
Therefore, the volume of the juice in the container will be 21,352 cubic centimeters.
2. The base of a cylindrical juice container is a circle with diameter of 20 cm. The height of the container is 80 cm.
a) What is the volume of the juice container?
b) The juice container will be filled to 85% of its capacity. What will the volume of the juice in the container be?
1 answer
1 answer