Volume of Cylinders, Cones, and Spheres Review

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

What is the definition of volume?

Back

The amount of space a 3-dimensional object takes up.

Front

What is a radius?

Back

A line segment from the center of a circle to any point on its circumference.

Front

What is a diameter?

Back

A line segment that passes through the center of a circle and has its endpoints on the circle.

Front

How do you find the volume of a cylinder?

Back

Multiply the area of the base (πr²) by the height (h): V = πr²h.

Front

What is the relationship between the radius and diameter?

Back

The diameter is twice the length of the radius: d = 2r.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3)²(5) = 45π cm³ ≈ 141.37 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Back

V = (1/3)π(4)²(6) = 32π cm³ ≈ 100.53 cm³.