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# Word problems on Volume of Cones, Cylinders, and Spheres

### Volume of Cone

Volume of cone =   h, where  = 3.14 or

Example: Find the volume of a cone with radius 2 cm and height 7 cm. (Round the answer to nearest hundredth place)

Solution: Volume of cone = h=7== 29.31 cm3

### Volume of Cylinder

Volume of cylinder = h, where = 3.14 or  .

Example: Find the volume of a cylinder with diameter 4 feet and height 7 feet. (Use  = )

Solution: Volume of cylinder =h=7=224= 88 ft3

### Volume of Sphere

Volume of sphere = , where  = 3.14 or .

Example: Linda purchased a spherical aquarium of diameter 70 cm. What is the volume of aquarium? (Use  = )

Volume of sphere = = =25666.67 cm3

## Check Point

1. What is the capacity of a silo (silo is a large cylindrical vessel for storing bulk materials) with height 90 ft and diameter 30 ft? (Use  = 3.14)
2. Find the volume of an ice cream cone with radius 5 cm and a height of 12 cm. (Use  = 3.14)
3. What is the volume of water tank with a diameter of 4 feet and height 6 ft (Use  = 3.14)
4. What is the volume of cone with diameter of 2 mi and a height of 12 mi? (Use  = 3.14 and round the answer to nearest tenth)
5. What is the volume of a spherical ball with radius 10 cm? (Use  = 3.14)
1. 63,585 ft3
2. 314 cm3
3. 75.36 ft3
4. 12.6 mi3
5. 3,140 cm3

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