Volume of Cylinders and Cones

Front

What is the formula for the Volume of a Cone?

Back

V=(1/3)π r²h

Front

What is the formula for the Volume of a Cylinder?

Back

V=π r²h

Front

Define radius in the context of a circle.

Back

The radius is the distance from the center of the circle to any point on its circumference.

Front

Define diameter in the context of a circle.

Back

The diameter is twice the length of the radius and is the distance across the circle through its center.

Front

How do you find the volume of a cone given its diameter and height?

Back

First, find the radius (half of the diameter), then use the formula V=(1/3)π r²h.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a cone has a radius of 3 ft and a height of 4 ft, what is its volume?

Back

V=(1/3)π (3)²(4) = 37.68 cubic feet.

Front

What is the relationship between the radius and diameter of a circle?

Back

The diameter is equal to 2 times the radius (d = 2r).

Front

How do you convert the diameter of a cylinder to its radius?

Back

Divide the diameter by 2.

Front

Find the volume of a cylinder with a radius of 4 ft and a height of 10 ft. Use 3.14 for pi.

Back

V=π (4)²(10) = 502.4 cubic feet.