Volume of Cones, Cylinders and Spheres

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 cylinder?

Back

V = 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

How do you find the radius of a cone given the height and slant height?

Back

Use the Pythagorean theorem: r = √(l² - h²), where l is the slant height and h is the height.

Front

If a cylinder has a diameter of 10 cm, what is its radius?

Back

The radius is half the diameter, so r = 10 cm / 2 = 5 cm.

Front

What is the approximate value of π?

Back

π is approximately 3.14.

Front

How do you convert cubic feet to gallons?

Back

Multiply the volume in cubic feet by 7.5 to get the volume in gallons.

Front

What is the volume of a cone with a radius of 3 inches and a height of 5 inches?

Back

V = (1/3)π(3)²(5) = 15π ≈ 47.1 cubic inches.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = π(4)²(10) = 160π ≈ 502.65 cubic cm.

Front

How do you find the volume of a pool shaped like a cylinder?

Back

Use the formula V = πr²h, where r is the radius and h is the depth.