Volume of Cylinders and Cones

Front

What is the formula for Volume of a Cone?

Back

V=(1/3)π r²h

Front

What is the formula for Volume of a Cylinder?

Back

V=π r²h

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cylinder is 3 times greater than the volume of the cone.

Front

If a cone has a radius of 3 inches and a height of 5 inches, what is its volume? (Use π=3.14)

Back

V=(1/3)π r²h = (1/3) * 3.14 * 3² * 5 = 47.1 in³

Front

What is the diameter of a cylinder if its radius is 4 inches?

Back

Diameter = 2 * radius = 2 * 4 = 8 inches

Front

How do you calculate the volume of a cylinder?

Back

Multiply the area of the base (π r²) by the height (h).

Front

What is the volume of a cone with a diameter of 10 inches and a height of 12 inches? (Use π=3.14)

Back

V=(1/3)π r²h = (1/3) * 3.14 * (5)² * 12 = 62.8 in³

Front

If a cylinder has a volume of 100 in³ and a height of 10 inches, what is its radius? (Use π=3.14)

Back

V=π r²h, so r = √(V/(πh)) = √(100/(3.14*10)) ≈ 5.64 inches

Front

What is the volume of 3 cone-shaped containers each with a volume of 50 in³?

Back

Total volume = 3 * 50 = 150 in³

Front

What is the height of a cylinder if its volume is 200 in³ and its radius is 5 inches? (Use π=3.14)

Back

V=π r²h, so h = V/(π r²) = 200/(3.14 * 5²) ≈ 5.09 inches