. Frosty Snacks sells ice cream in a cylindrical cup and in cones. The small cup of ice cream has a height of 4 inches and a radius

of 2 inches. The small cone has a height of 6 inches and a

diameter of 5 inches. How much more ice cream will fit into a

small cup than a small cone? Use 3.14 for pi.

10.99 in^3

Step-by-step explanation:

Steps to determining the answer

volume of a cylinder = nr^2h

n = 3.14

r = radius

3.14 x 4 x 2² = 50.24 in³

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius

A radius is half of the diameter = 5/2 = 2.5 in

h = height  

(1/3) x 3.14 x 2.5² x 6 = 39.25 in³

difference = 50.24  - 39.25 = 10.99 in³

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15