Exploring the Volume of Cones

What is the formula for finding the volume of a cone?

• V = 1/2 * B * H

• V = 1/3 * B * H

• V = B * H

• V = π * r^2 * H

How do you find the area of the base (B) of a cone?

• B = π * r

• B = π * d

• B = π * r^2

• B = 2π * r

What does the capital B in the cone volume formula represent?

• The base's area

• The base's circumference

• The base's perimeter

• The base's diameter

When calculating the volume of a cone, why might using the π key on a calculator yield a slightly different result than using 3.14?

• Because π is irrational

• Because 3.14 is more accurate

• Because the calculator is faulty

• Due to rounding errors

If a cone has a radius of 8 and a height of 6, what is its volume?

• 402.12 cubic units

• 150.72 cubic units

• 241.28 cubic units

• 804.24 cubic units

For a cone with a diameter of 4 and height of 7.5, what is the volume?

• 31.42 cubic units

• 62.84 cubic units

• 15.71 cubic units

• 94.26 cubic units

How do you calculate the volume of a cone in terms of π?

• Divide the product of π, the square of the radius, and the height by 3

• Multiply 1/3 by the square of the radius by the height and then by π

• Multiply 1/3 by the square of the radius by the height

• Multiply π by the square of the radius by the height

If a cone's volume is 3768 cubic cm and its height is 25 cm, what is the radius?

• 12 cm

• 24 cm

• 6 cm

• 18 cm

What is the inverse operation to find the radius from the volume of a cone?

• Multiplication

• Division

• Square root

• Subtraction

How many cubic inches of water are needed to fill five cones with a height of 4 inches and a radius of 2 inches?

• 41.9 cubic inches

• 16.75 cubic inches

• 83.8 cubic inches

• 167.5 cubic inches