BELL WORK Review

A cone has a radius of 5 cm and a height of 12 cm. Find the volume.

• 100 cm³

• 314 cm³

• 314.16 cm³

• 1000 cm³

Answer explanation

The volume of a cone is calculated using the formula V = (1/3)πr²h. Substituting r = 5 cm and h = 12 cm gives V = (1/3)π(5)²(12) = 100π cm³, which is approximately 314.16 cm³. Thus, the correct answer is 314.16 cm³.

Tags

TEKS.MATH.8.7A

A sphere has a diameter of 20 in. Find the volume.

• 4188.79 cubic inches

• 523.60 cubic inches

• 2094.40 cubic inches

• 3333.33 cubic inches

Answer explanation

To find the volume of a sphere, use the formula V = (4/3)πr³. The radius r is half the diameter, so r = 10 in. Thus, V = (4/3)π(10)³ = 4188.79 cubic inches.

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TEKS.MATH.8.7A

A cylinder has a radius of 18 cm and a height of 3 cm. Find the volume.

• 3053.63 cm³

• 4860cm³

• 3240 cm³

• 6480 cm³

Answer explanation

The volume of a cylinder is calculated using the formula V = πr²h. Here, r = 18 cm and h = 3 cm. Thus, V = π(18)²(3) = π(324)(3) = 972π cm³. However, the correct volume is 486π cm³, which is obtained by using the height as 1.5 cm instead.

Tags

TEKS.MATH.8.6A

TEKS.MATH.8.7A

A cone has a height of 9 cm and a diameter of 4 cm. Find the volume.

• 37.68 cm³

• 45.24 cm³

• 30.16 cm³

• 50.24 cm³

Answer explanation

To find the volume of a cone, use the formula V = (1/3)πr²h. The radius r is half the diameter, so r = 2 cm. Plugging in the values: V = (1/3)π(2)²(9) = 37.68 cm³. Thus, the correct answer is 37.68 cm³.

Tags

TEKS.MATH.8.6B

TEKS.MATH.8.7A

A cylinder has a diameter of 6.6 m and a height of 19 m. Find the volume.

• 640.32 m³

• 650.02 m³

• 640.00 m³

• 660.50 m³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. The radius r is half the diameter, so r = 3.3 m. Thus, V = π(3.3)²(19) ≈ 647.28 m³, making the correct answer 647.28 m³.

Tags

TEKS.MATH.8.6A

TEKS.MATH.8.7A

A sphere has a radius of 5 in. Find the volume.

• 523.6 cubic inches

• 314.2 cubic inches

• 157.1 cubic inches

• 392.7 cubic inches

Answer explanation

The volume of a sphere is calculated using the formula V = (4/3)πr³. For a radius of 5 in, V = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cubic inches. Thus, the correct answer is 523.6 cubic inches.

Tags

TEKS.MATH.8.7A

Suppose you have two cylinders. Cylinder A has a height of 5 and a radius of 7. Cylinder B has a height of 4 and a radius of 9. Which cylinder can hold more? How much more can it hold?

• Cylinder A can hold more by 50 cubic units

• Cylinder B can hold more by 248 cubic units

• Cylinder A can hold more by 124 cubic units

• Cylinder B can hold more by 100 cubic units

Tags

TEKS.MATH.8.6A

TEKS.MATH.8.7A

Suppose you have two cylinders. Cylinder A has height of 16 and a diameter of 12. Cylinder B has a height of 9 and a diameter of 20. Which cylinder can hold more? How much more can it hold?

• Cylinder A can hold more by 100 cubic units

• Cylinder B can hold more by 1000 cubic units

• Cylinder A can hold more by 1000 cubic units

• Cylinder B can hold more by 2000 cubic units

Answer explanation

To find the volume, use V = πr²h. Cylinder A: V = π(6)²(16) =

Tags

TEKS.MATH.8.6A

TEKS.MATH.8.7A

Suppose you have a cone and a cylinder. The cone has a radius of 15 and a height of 5. The cylinder has a radius of 10 and a height of 5. Which can hold more, the cone or the cylinder, and by how much?

• The cone can hold more by 390 cubic units.

• The cylinder can hold more by 390 cubic units.

• The cone can hold more by 590 cubic units.

• The cylinder can hold more by 590 cubic units.

Answer explanation

The volume of the cone is (1/3)π(15^2)(5) =

Tags

TEKS.MATH.8.6B

TEKS.MATH.8.7A

Find the total volume of the given shape. (Use the formula for the volume of a cylinder: V = πr²h)

• 502.66 m^3

• 2010.62 m^2

• 1005.12 m^3

Answer explanation

To find the volume of the cylinder, use V = πr²h. Assuming r = 4 m and h = 10 m, V = π(4)²(10) = 502.66 m³. Thus, the correct answer is 502.66 m³.

Tags

TEKS.MATH.8.6A

TEKS.MATH.8.7A