Volume of Cylinders, cones and spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

V = (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

V = (4/3)πr³, where r is the radius.

Front

If the radius of a cylinder is 3 inches and the height is 5 inches, what is the volume?

Back

V = π(3)²(5) = 45π ≈ 141.4 in³.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Front

What is the volume of a sphere with a radius of 4 inches?

Back

V = (4/3)π(4)³ = (4/3)π(64) ≈ 268.1 in³.

Front

What is the volume of a cone with a radius of 2 inches and a height of 6 inches?

Back

V = (1/3)π(2)²(6) = (1/3)π(24) = 8π ≈ 25.1 in³.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 10 inches?

Back

V = π(2)²(10) = 40π ≈ 125.7 in³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.

Front

If a sphere has a volume of 33.5 in³, what is its radius?

Back

Use the formula V = (4/3)πr³ and solve for r.