Volume of Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

Front

What is the value of π (pi) used in calculations?

Back

The value of π (pi) is approximately 3.14.

Front

How do you calculate the volume of a sphere with a radius of 4 inches?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(4)³ = 267.9 in³.

Front

What is the volume of a sphere with a radius of 8 cm?

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(8)³ = 2144.7 cm³.

Front

What is a hemisphere?

Back

A hemisphere is half of a sphere.

Front

How do you calculate the volume of a hemisphere?

Back

The volume of a hemisphere is V = (2/3)πr³.

Front

What is the volume of a hemisphere with a radius of 4?

Back

Using the formula V = (2/3)πr³, the volume is V = (2/3)π(4)³ = 42.67π.

Front

What shape is defined as having all points equidistant from a center point?

Back

A sphere.

Front

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

Back

Using the formula V = (4/3)πr³, the volume is V = (4/3)π(5)³ = 523.6 ft³.

Front

What is the relationship between the radius and diameter of a sphere?

Back

The diameter d of a sphere is twice the radius r, d = 2r.