8. GSR.8.4 Volume of Cylinders, Cones, Spheres & Hemispheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

What is the formula for the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

Volume = π(3)²(10) = 282.7 cm³.

Front

What is the relationship between cubic inches and ounces for flour?

Back

1 cubic inch of flour weighs approximately 0.13 ounces.

Front

How do you calculate the volume of a cylinder with a diameter of 8 inches and a height of 6 inches?

Back

First, find the radius (4 inches). Then, Volume = π(4)²(6) = 301.6 in³.

Front

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

Back

Radius = 5 inches. Volume = (4/3)π(5)³ = 523.6 in³.

Front

If a ball deflates at a rate of 1.5 cubic inches per second, how long will it take to deflate a volume of 349.1 cubic inches?

Back

Time = Volume / Rate = 349.1 / 1.5 = 232.7 seconds.