2023 volume of spheres and hemispheres

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 volume of a sphere with a radius of 3 meters?

Back

V = (4/3)π(3)³ = 36π ≈ 113.1 m³.

Front

What is the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

How do you calculate the volume of a sphere with a diameter of 10 cm?

Back

First, find the radius: r = diameter/2 = 5 cm. Then, V = (4/3)π(5)³ = 523.6 cm³.

Front

If a sphere has a volume of 904.32 cm³, what is its radius?

Back

Using V = (4/3)πr³, solve for r: r ≈ 6 cm.

Front

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

Back

Diameter = 2 × Radius.

Front

What is the approximate volume of a sphere with a radius of 7 inches?

Back

V ≈ 1436.76 in³.

Front

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

Back

The volume increases by a factor of 8.

Front

What is π (pi) approximately equal to?

Back

π ≈ 3.14.

Front

How do you find the volume of a sphere using the value of π?

Back

Substitute the value of π into the formula V = (4/3)πr³.