Home | Online Math Tutoring | 8th Grade Math Tutoring | **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 cm ^{3}**

### 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 ft ^{3}**

### 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 cm ^{3} **

^{}

**CHECK POINT**

- 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)
- Find the volume of an ice cream cone with radius 5 cm and a height of 12 cm. (Use = 3.14)
- What is the volume of water tank with a diameter of 4 feet and height 6 ft (Use = 3.14)
- 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)
- What is the volume of a spherical ball with radius 10 cm? (Use = 3.14)

##### Answer key

- 63,585 ft
^{3} - 314 cm
^{3} - 75.36 ft
^{3} - 12.6 mi
^{3} - 3,140 cm
^{3}

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