8G9 Volume of Sphere & Hemisphere

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 formula for the volume of a hemisphere?

Back

V = (2/3)πr³, where r is the radius.

Front

If the radius of a sphere is 3 inches, what is its volume?

Back

V = (4/3)π(3)³ = 36π in³.

Front

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

Back

V = (2/3)π(5)³ = (250/3)π in³ or approximately 261.8 in³.

Front

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

Back

Use the conversion factor: 1 in³ = 0.0000163871 m³.

Front

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

Back

V = (4/3)π(7)³ = 1436.76 cm³.

Front

If a hemisphere has a volume of 134.0 m³, what is its radius?

Back

r = (3V/(2π))^(1/3) = (3*134.0/(2π))^(1/3) ≈ 3.69 m.

Front

What is the relationship between the volume of a sphere and a hemisphere?

Back

The volume of a hemisphere is half the volume of a sphere with the same radius.

Front

If the volume of a sphere is 310.2 cm³, what is its radius?

Back

r = ((3V)/(4π))^(1/3) = ((3*310.2)/(4π))^(1/3) ≈ 4.24 cm.

Front

What is the approximate volume of a globe with a radius of 11 inches?

Back

V = (4/3)π(11)³ ≈ 5,575 in³.