A terrarium is a miniature landscape built within a container. Much like an aquarium is a tank that contains water, rocks, and fish, a terrarium contains soil, plants, and sometimes even small animals.
Lashonda owns a company that builds and sells terrariums. The terrariums that she sells come in the shapes of cylinders, cones, and spheres.
A cylindrical terrarium contains a desert landscape, including sand and cacti. The dimensions of the terrarium are shown. The cylinder has a diameter of 24 inches and a height of 18 inches and contains sand in the bottom to a depth of 4 inches.
Lashonda needs to know how much sand will be needed to create this terrarium. Drag the dimensions from the Dimensions Box onto the appropriate place in the formula to calculate the volume of sand being used in the terrarium.
Now that you have correctly identified the dimensions, calculate the volume of sand required for one desert terrarium.
Interactive popup. Assistance may be required. 576π ≈ 1,808.64 cubic inches
A cone-shaped, or conical, terrarium contains a woodland landscape, including soil and plants you might find in a forest. The dimensions of the terrarium are shown. The cone has a diameter of 30 inches and a height of 24 inches and contains soil in the bottom to a depth of 13.5 inches.
Lashonda needs to know how much space this cone-shaped woodland terrarium will occupy. Drag the dimensions from the Dimensions Box onto the appropriate place in the formula to calculate the volume of the woodland terrarium.
Now that you have correctly identified the dimensions, calculate the volume of the woodland terrarium.
Interactive popup. Assistance may be required. 1,808π ≈ 5,652 cubic inches
A spherical terrarium contains a tropical landscape, including soil and tropical plants such as ferns and flowers. The dimensions of the terrarium are shown. The sphere has a diameter of 28 inches and contains soil in the bottom to a depth of 14 inches.
Lashonda needs to know the total volume of this spherical tropical terrarium. Drag the dimensions from the Dimensions Box onto the appropriate place in the formula to calculate the volume of the tropical terrarium.
Now that you have correctly identified the dimensions, calculate the volume of the tropical terrarium.
Interactive popup. Assistance may be required. 36582 over 3 2 3 π ≈ 11,488.21 cubic inches
If the vase is filled with water to a height of 17.5 cm, what is the volume of water inside the vase? Use the grid below to record your answer. Type your answer in the boxes in front of and behind the decimal. Click inside each box to enter the numeral that belongs in the box, and then click the bubble beneath the number to shade the bubble that matches the numeral. Incorrect portions of your answer will be shaded gray.
When the cup is completely filled, how much water will it hold?
nteractive popup. Assistance may be required.
Use the formula V = 1 over 3
1
3
πr2h, where h represents the height of the cone (not the slant height of the cone!)
Interactive popup. Assistance may be required.
A bowling ball has a diameter of 8 inches and is made of a combination of plastic and resin. How much material is required to manufacture one bowling ball, excluding the space for the finger holes?
nteractive popup. Assistance may be required.
Use the formula V = 4 over 3
4
3
πr3. Be sure to use the radius of the bowling ball instead of the diameter.
Interactive popup. Assistance may be required.