Find the volume of a sphere with a radius of 9 cm. Leave your answer in terms of pi.(1 point)

Question

The volume is
cm3.

Answer 1

The formula for the volume of a sphere is V = (4/3)πr^3.

Substituting r = 9 cm into the formula, we get:

V = (4/3)π(9^3)
= (4/3)π(729)
= 972π cm^3

So the volume of the sphere is 972π cm^3.

Answer 2

Find the volume of a sphere with a radius of 3 m. Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
The volume is
m3.

Answer 3

The formula for the volume of a sphere is V = (4/3)πr^3.

Substituting r = 3 m and π ≈ 3.14 into the formula, we get:

V = (4/3)(3.14)(3^3)
= (4/3)(3.14)(27)
= 113.04 m^3

So the volume of the sphere is approximately 113.04 m^3.

Answer 4

Find the volume of a sphere with a diameter 12 m. Leave your answer in terms of pi.(1 point)
The volume is
m3.

Answer 5

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.

The radius of the sphere is half of the diameter, so r = 12/2 = 6 m.

Substituting r = 6 m into the formula, we get:

V = (4/3)π(6^3)
= (4/3)π(216)
= 288π m^3

So the volume of the sphere is 288π m^3.

Answer 6

How much chocolate is in a spherical chocolate truffle with a radius of 12 mm? Use 3.14 as an approximation for pi. Round your answer to the nearest hundredth, if necessary.(1 point)
mm3

Answer 7

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.

Substituting r = 12 mm and π ≈ 3.14 into the formula, we get:

V = (4/3)(3.14)(12^3)
≈ (4/3)(3.14)(1728)
≈ 2880.64 mm^3

Rounded to the nearest hundredth, the volume of the chocolate truffle is approximately 2880.64 mm^3.