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

π (pi) is approximately 3.14, but it is an irrational number that continues infinitely.

Front

If the radius of a sphere is doubled, how does the volume change?

Back

If the radius is doubled, the volume increases by a factor of 8.

Front

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

Back

The volume is 113.1 cm³ (using V = (4/3)π(3)³).

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.

Front

How do you convert the volume of a sphere from cubic inches to cubic centimeters?

Back

To convert from cubic inches to cubic centimeters, multiply by 16.387.

Front

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

Back

The volume is 523.3 in³ (using V = (4/3)π(5)³).

Front

What is the volume of a sphere with a radius of 7 cm?

Back

The volume is 1436.8 cm³ (using V = (4/3)π(7)³).

Front

What is the volume of a sphere with a radius of 9 inches?

Back

The volume is 305.3 in³ (using V = (4/3)π(9)³).

Front

What is the volume of a sphere with a radius of 10 mm?

Back

The volume is 418.9 mm³ (using V = (4/3)π(10)³).