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24 votes
24 votes
. 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.

User Fcsr
by
2.6k points

1 Answer

12 votes
12 votes

Answer:

10.99 in^3

Explanation:

Steps to determining the answer

  1. determine the volume of the cylinder
  2. determine the volume of the cone
  3. find the difference in volumes

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

User Frances
by
3.3k points