Find the volume of cylinders, cones, and spheres

The volume of a three-dimensional figure is a measure of its capacity. Cylinders, cones, and spheres are no difference from this rule.

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Views #: 214

Questions #: 10

Time: 10 minutes

Pass Score: 80.0%

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Volume of a Cylinder

1 pts

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A cylinder has a circular base with a radius of \(4\text{ cm}\) and a height of \(10\text{ cm}\). Calculate its volume in cubic centimeters. (Use \(\pi \approx 3.14\) and round your final answer to the nearest tenth).

502.4 cm³

125.6 cm³

150.7 cm³

251.2 cm³

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Volume of a Cone

1 pts

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Find the volume of the cone shown below. (Use \(\pi \approx 3.14\) and round your final answer to the nearest hundredth).

Answer = (1)

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Volume of a Sphere

1 pts

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A spherical ball has a radius of \(3\text{ m}\). Determine its volume in terms of \(\pi\).

36π m³

12π m³

113.04 m³

27π m³

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Matching Formulas of 3D Solids

1 pts

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Match each 3D solid geometry figure with its standard mathematical volume formula expression.

Cylinder (1)

Cone (2)

Sphere (3)

Please drag and drop the selected option in the right place or type it instead

π * r² * h

(1/3) * π * r² * h

(4/3) * π * r³

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Volume Relationship: Cylinder vs Cone

1 pts

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Complete the statement describing the relationship between a cone and a cylinder that share the identical base radius (\(r\)) and height (\(h\)).

The volume of the cylinder is exactly (1) times the volume of the cone.

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Volume of a Cylinder (Exact and Approximate)

2 pts

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Find the volume of the cylinder shown below. Give the exact answer and an approximation to the nearest hundredth.

Exact: \(60\pi\) cm³ Approx: ≈ 188.50 cm³

Exact: \(90\pi\) cm³ Approx: ≈ 282.74 cm³

Exact: \(180\pi\) cm³ Approx: ≈ 565.49 cm³

Exact: \(360\pi\) cm³ Approx: ≈ 1,130.97 cm³

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Volume of a Cylinder (d = 10 yd, h = 4 yd)

2 pts

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Find the volume of the cylinder shown below. Give the exact answer and an approximation to the nearest hundredth.

Exact: \(40\pi\) yd³ Approx: ≈ 125.66 yd³

Exact: \(80\pi\) yd³ Approx: ≈ 251.33 yd³

Exact: \(100\pi\) yd³ Approx: ≈ 314.16 yd³

Exact: \(400\pi\) yd³ Approx: ≈ 1,256.64 yd³

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Volume of a Cone (Exact and Approximate)

2 pts

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Find the volume of the cone shown below. Give the exact answer and an approximation to the nearest hundredth.

Exact: \(16\pi\) ft³ Approx: ≈ 50.27 ft³

Exact: \(24\pi\) ft³ Approx: ≈ 75.40 ft³

Exact: \(32\pi\) ft³ Approx: ≈ 100.53 ft³

Exact: \(96\pi\) ft³ Approx: ≈ 301.59 ft³

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Volume of a Spherical Water Tank

2 pts

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How many cubic feet of water are needed to fill the spherical water tank shown below? Give the exact answer and an approximation to the nearest tenth.

Exact: \(2{,}250\pi\) ft³ Approx: ≈ 7,068.6 ft³

Exact: \(3{,}375\pi\) ft³ Approx: ≈ 10,602.9 ft³

Exact: \(4{,}500\pi\) ft³ Approx: ≈ 14,137.2 ft³

Exact: \(9{,}000\pi\) ft³ Approx: ≈ 28,274.3 ft³

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Volume of a Spherical Water Tank (r = 7 m)

2 pts

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Find the volume of a spherical water tank with a radius of 7 meters. Give the exact answer and an approximation to the nearest tenth.

Exact: \(\dfrac{686}{3}\pi\) m³ Approx: ≈ 718.4 m³

Exact: \(\dfrac{1{,}372}{3}\pi\) m³ Approx: ≈ 1,436.8 m³

Exact: \(196\pi\) m³ Approx: ≈ 615.8 m³

Exact: \(\dfrac{4{,}116}{3}\pi\) m³ Approx: ≈ 4,310.3 m³

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Year 9

Volume of a Cylinder

Correct Answer

Explanation

Volume of a Cone

Correct Answer

Explanation

Volume of a Sphere

Correct Answer

Explanation

Matching Formulas of 3D Solids

Correct Answer

Explanation

Volume Relationship: Cylinder vs Cone

Correct Answer

Explanation

Volume of a Cylinder (Exact and Approximate)

Correct Answer

Explanation

Volume of a Cylinder (d = 10 yd, h = 4 yd)

Correct Answer

Explanation

Volume of a Cone (Exact and Approximate)

Correct Answer

Explanation

Volume of a Spherical Water Tank

Correct Answer

Explanation

Volume of a Spherical Water Tank (r = 7 m)

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