Volume of Pyramids and Cones-Short Version

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you find the radius of a cone if you know the diameter?

Back

The radius r is half of the diameter d. So, r = d/2.

Front

What is the approximate value of π (pi) used in calculations?

Back

The approximate value of π is 3.14.

Front

If a cone has a height of 10 inches and a radius of 4 inches, what is its volume?

Back

V = (1/3)π(4²)(10) = (1/3)(3.14)(16)(10) = 167.3 in³.

Front

What is the volume of a cone with a height of 30 inches and a diameter of 20 inches?

Back

V = (1/3)π(10²)(30) = (1/3)(3.14)(100)(30) = 3140 in³.

Front

How do you calculate the volume of multiple cone-shaped containers?

Back

Multiply the volume of one cone by the number of containers.

Front

What is the volume of a cone with a height of 7 inches and a diameter of 6 inches?

Back

First, find the radius: r = 6/2 = 3 inches. Then, V = (1/3)π(3²)(7) = (1/3)(3.14)(9)(7) = 65.9 in³.

Front

What is the volume of a cone with a height of 10 inches and a diameter of 8 inches?

Back

First, find the radius: r = 8/2 = 4 inches. Then, V = (1/3)π(4²)(10) = (1/3)(3.14)(16)(10) = 167.3 in³.

Front

What is the volume of a cone with a height of 5 inches and a radius of 2 inches?

Back

V = (1/3)π(2²)(5) = (1/3)(3.14)(4)(5) = 20.93 in³.

Front

If the volume of a cone is 502.4 in³, what could be its height if the radius is 4 inches?

Back

Using V = (1/3)πr²h, solve for h: h = (3V)/(πr²) = (3*502.4)/(3.14*16) = 30.0 inches.