Three Dimensional Geometry

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

If a tennis ball has a diameter of 14 cm, what is its radius?

Back

7 cm.

Front

What three-dimensional object is formed by rotating a rectangle around one of its sides?

Back

A rectangular prism.

Front

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

Back

V = πr²h = π(3)²(5) = 45π cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)πr²h = (1/3)π(4)²(9) = 48π cm³.

Front

What is the volume of a hemisphere with a radius of 5 cm?

Back

V = (2/3)πr³ = (2/3)π(5)³ = (250/3)π cm³.

Front

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

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

V = l × w × h, where l is length, w is width, and h is height.

Front

What is the volume of a composite solid?

Back

It is the sum of the volumes of the individual solids that make it up.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

V = (4/3)π(3)³ = 36π cm³.