Volume of Cylinders, Cones, & Spheres 8.7A

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

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 and h is the height of the cylinder.

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 of the cone.

Front

How do you convert diameter to radius?

Back

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

Front

What is the volume of a sphere with a radius of 5 inches?

Back

Using the formula V = (4/3)πr³, the volume is approximately 523.6 in³.

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 10.5 inches?

Back

Using the formula V = πr²h, the volume is approximately 296.88 in³.

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches?

Back

Using the formula V = (1/3)πr²h, the volume is approximately 150.8 in³.

Front

What is the volume of a sphere with a diameter of 16 inches?

Back

The radius is 8 inches. Using the formula V = (4/3)πr³, the volume is approximately 2,144.66 in³.

Front

What is the volume of a cylinder with a diameter of 10 ft and a height of 17 ft?

Back

The radius is 5 ft. Using the formula V = πr²h, the volume is approximately 1,335 ft³.

Front

What is the relationship between volume and capacity?

Back

Volume measures the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) a container can hold.