How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.(1 point)

Question

An aesthetically pleasing detailed 3-dimensional illustration of a creamy, perfectly spherical ice cream scoop, having a radius of 3 cm. The ice cream scoop should exhibit realism with visible texture expressing its creamy and smooth nature. The scoop lies on a surface with its shadow visible beneath. There should be a visual hint or representation of measurement, perhaps a transparent rule or grid overlaying, but importantly, the image must be free of any text or numerical representations.

How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.(1 point)

cm3

Answer 1

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

Using the given radius of 3 cm and the approximation of π as 3.14, we can calculate the volume:

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

Round this value to the nearest whole number:

Approximately, there is 113 cm^3 of ice cream in the spherical scoop.

Answer 2

Suppose a sphere, cylinder, and cone all share the same radius and the cylinder and cone also share the same height, which is twice the radius. Which of the following is true about the relationship between the volume formulas for the sphere, cylinder, and cone?(1 point)

Responses

1 cylinder = 2 cones + 1 sphere
1 cylinder = 2 cones + 1 sphere

3 cones = 1 cylinder
3 cones = 1 cylinder

sphere - cone = cylinder
sphere - cone = cylinder

sphere = cylinder + cone