Baker M3 EOC Review Flashcardizz #4 pt 2 - F24

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 of the sphere.

Front

How do you calculate the volume of a cone?

Back

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

Front

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

Back

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

Front

If a sphere has a radius of 5 m, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.3 m³.

Front

What is the volume of a sphere with a diameter of 10 m?

Back

First, find the radius: r = diameter/2 = 5 m. Then, V = (4/3)π(5)³ = 523.3 m³.

Front

How do you find the volume of a cylinder?

Back

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

Front

What is the volume of a cone with a radius of 3 inches and a height of 9 inches?

Back

Using the formula V = (1/3)πr²h, the volume is V = (1/3)π(3)²(9) = 27π ≈ 84.82 cubic inches.

Front

What is the approximate volume of a sphere with a radius of 7 feet?

Back

Using the formula V = (4/3)πr³, the volume is V ≈ 1436.76 cubic feet.

Front

If the height of a cone is doubled, how does that affect its volume?

Back

Doubling the height of a cone doubles its volume, since volume is directly proportional to height.

Front

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

Back

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