Math · Geometry
Volume of Cylinders, Cones and Spheres
Use the volume formulas for cylinders, cones and spheres, in terms of π and with π ≈ 3.14.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.G.C.9
- ❓ 18 questions
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A cylinder has radius 2 ft and height 5 ft. What is its volume? (π ≈ 3.14)
- A 125.6 ft³
- B 20.93 ft³
- C 62.8 ft³
- D 31.4 ft³
3.14 × 4 × 5 = 62.8
A cylinder has radius 4 cm and height 6 cm. What is its volume?
- A 96π cm³
- B 48π cm³
- C 32π cm³
- D 24π cm³
V = πr²h = π × 16 × 6 = 96π
A cone has radius 2 m and height 9 m. What is its volume?
- A 6π m³
- B 12π m³
- C 18π m³
- D 36π m³
V = ⅓πr²h = ⅓ × π × 4 × 9 = 12π
Which formula gives the volume of a sphere?
- A V = ⁴⁄₃πr³
- B V = 4πr²
- C V = ⅓πr²h
- D V = πr²h
A cone has radius 3 m and height 4 m. What is its volume?
- A 12π m³
- B 36π m³
- C 18π m³
- D 4π m³
V = ⅓πr²h = ⅓ × π × 9 × 4 = 12π
A cone and a cylinder have the same radius and height. How do their volumes compare?
- A The cone is 1/3 of the cylinder.
- B They are equal.
- C The cone is 3 times the cylinder.
- D The cone is 1/2 of the cylinder.
A cylinder has volume 72π cm³ and radius 3 cm. What is its height?
- A 12 cm
- B 4 cm
- C 8 cm
- D 24 cm
72π ÷ 9π = 8
A cylinder has radius 5 cm and height 2 cm. What is its volume?
- A 10π cm³
- B 100π cm³
- C 50π cm³
- D 20π cm³
V = πr²h = π × 25 × 2 = 50π
A cylinder has radius 3 cm and height 5 cm. What is its volume?
- A 30π cm³
- B 15π cm³
- C 45π cm³
- D 180π cm³
V = πr²h = π × 9 × 5 = 45π
A cone has radius 6 m and height 5 m. What is its volume?
- A 60π m³
- B 30π m³
- C 180π m³
- D 90π m³
V = ⅓πr²h = ⅓ × π × 36 × 5 = 60π
Which formula gives the volume of a cone?
- A V = ⁴⁄₃πr³
- B V = ½πr²h
- C V = πr²h
- D V = ⅓πr²h
A cone has radius 5 m and height 6 m. What is its volume?
- A 150π m³
- B 30π m³
- C 50π m³
- D 75π m³
V = ⅓πr²h = ⅓ × π × 25 × 6 = 50π
A sphere has radius 2 in. What is its volume?
- A 8π in³
- B 16π in³
- C 32π in³
- D 32/3π in³
V = ⁴⁄₃πr³ = ⁴⁄₃ × π × 8 = 32/3π
A cone has radius 3 cm and height 10 cm. What is its volume? (π ≈ 3.14)
- A 282.6 cm³
- B 188.4 cm³
- C 94.2 cm³
- D 31.4 cm³
⅓ × 3.14 × 9 × 10 = 94.2
A sphere has radius 3 in. What is its volume?
- A 27π in³
- B 12π in³
- C 108π in³
- D 36π in³
V = ⁴⁄₃πr³ = ⁴⁄₃ × π × 27 = 36π
A cylinder has radius 2 cm and height 10 cm. What is its volume?
- A 40π cm³
- B 20π cm³
- C 160π cm³
- D 80π cm³
V = πr²h = π × 4 × 10 = 40π
Doubling the radius of a cylinder doubles its volume.
False The radius is squared, so the volume becomes 4 times as large.
A sphere has radius 6 in. What is its volume?
- A 864π in³
- B 216π in³
- C 144π in³
- D 288π in³
V = ⁴⁄₃πr³ = ⁴⁄₃ × π × 216 = 288π
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