Geometry B Unit 4

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 of the base and h is the height.

Front

How do you find the height of a cone if you know the volume and radius?

Back

Rearrange the volume formula: h = (3V)/(πr²). Plug in the values for V and r to find h.

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Front

How do you calculate the radius of a sphere from its volume?

Back

Rearrange the volume formula: r = ((3V)/(4π))^(1/3). Plug in the volume V to find r.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Rearrange the volume formula: h = V/(πr²). Plug in the values for V and r to find h.

Front

What is the formula for the volume of a rectangular prism?

Back

The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.

Front

How do you calculate the volume of a FedEx truck with multiple trailers?

Back

Calculate the volume of one trailer using V = lwh, then multiply by the number of trailers.

Front

What is the relationship between volume and capacity?

Back

Volume measures the amount of space an object occupies, while capacity refers to the maximum amount a container can hold.

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for providing a practical answer, especially in real-world applications where exact measurements may not be possible.