Volume of Cones, Spheres, and Cylinders

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) × π × r² × h, 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) × π × r³, where r is the radius.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π × r² × h, where r is the radius and h is the height.

Front

What is a radius?

Back

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

Front

What is a diameter?

Back

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

Front

What is the relationship between radius and diameter?

Back

The diameter is twice the length of the radius (Diameter = 2 × Radius).

Front

What shape has a circular base and a single vertex?

Back

A cone.

Front

What shape is defined as a three-dimensional object with two parallel circular bases?

Back

A cylinder.

Front

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

Back

Volume = (4/3) × π × (5)³ = 523.6 m³.

Front

What is the volume of a cylinder with a radius of 3 m and a height of 10 m?

Back

Volume = π × (3)² × 10 = 282.7 m³.