Question

HELP ASP!!!

Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.2 inches and a height of 7 inches. How much juice can Ramon pour into 6 cups? Round to the nearest hundredth and approximate using π = 3.14.

96.93 cubic inches
553.90 cubic inches
581.59 cubic inches
2,326.36 cubic inches

Answer 1

The answer will be the third option: 581.59 cubic inches

Answer 2

581,58 in^3

Explanation:

Given:

Cylinder shaped cups

d (diameter) = 4,2 in

r (radius) = 0,5 × 4,2 = 2,1 in

h (height) = 7 in

π = 3.14

.

First, let's find how much juice can he pour into 1 cup:

.

We need to find the base of the cylinder:

.

`a(base) = \pi {r}^(2) = 3.14 *( {2.1})^(2) = 13.8474`

.

Now, we can find the volume of one cup:

V = a (base) × h

`v = 13.8474 * 7 ≈96.93`

Multiply this number by 6 and we'll get the answer (since there's 6 cups):

96,93 × 6 = 581,58