Question

Ramon is filling cups with juice. Each cup is shaped like a cylinder and has a diameter of 4.4 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.

A) 2,553.20 cubic inches
B)638.30 cubic inches
C)425.53 cubic inches
D)106.38 cubic inches

Answer 1

D) 106.38 cubic inches

Explanation:

Info:

Diameter is the width of the cup and 7 is the height.

Process of elimination rules out A as it is too big.

The base of the cup is a circle.

Finding the base:

Formula for area of a circle is Pi (3.14) times the radius squared.

1. Find radius

Diameter is 2x the radius, so if we have a 4.4 diameter, the radius will be 2.2.

2. Square radius

2.2x2.2=

4.84

3. Times Pi

Multiply 4.84 by 3.14 (Pi) to get

15.1976

Finding area:

15.1976 is the area of the base. Now we multiply that by 7!

15.1976 x 7=

106.3832

This is our answer, but we need to round it to the nearest hundredth, the question tells us.

106.38 is the final answer.