Snowy's snow cones has a special bubble gum snow cone on sale. the cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. the radius of the snow cone is 6 inches, and the height of the cone is 10 inches. if the diameter of the bubble gum is 1.5 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?
1 over 3(3.14)(102)(6) − 4 over 3(3.14)(1.53)
1 over 3(3.14)(62)(10) − 4 over 3(3.14)(1.53)
1 over 3(3.14)(102)(6) − 4 over 3(3.14)(0.753)
1 over 3(3.14)(62)(10) − 4 over 3(3.14)(0.753)

The equation i.e. used for determining the volume of the cone is

The radius is 6 inches and the height is 10

Now

Now find the volume of the sphere with the bubble gum

Since The diameter is 1.5 inches

That means the radius is 1.5/2 = .75

So,

Here we considered that

Take the volume of the cone and subtract the volume of the bubble gum

So,

Learn more about the volume here: link

V = 1/3 pi (6)^2 *10 - 4/3 pi (.75)^3

Step-by-step explanation:

Find the volume of the cone without the bubble gum

The radius is 6 inches and the height is 10

V =1/3 pi r^2 h

V = 1/3 pi (6)^2 *10

Now find the volume of the sphere with the bubble gum

The diameter is 1.5 inches

That means the radius is 1.5/2 = .75

V =4/3 pi r^3 h

V = 4/3 pi (.75)^3

Take the volume of the cone and subtract the volume of the bubble gum

V = 1/3 pi (6)^2 *10 - 4/3 pi (.75)^3

your answer is the last one

step-by-step explanation:

divide the length of a'c' by the length of ac to get a scale factor of two

& then reflect vertically (over the y-axis)

so your answer is dilation by a scale factor of 2 followed by reflection over the y-axis

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5