An ice cream cone is 4 in across and 6 in deep. A scoop of ice cream with a diameter of 4 inches is placed on top. If the ice cream completely melts, how much ice cream spills out of the cone? Round answer to two decimal places.​

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i