Question

Help me with this pls :')
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3 in and a height of 8 in. Using the equation below, how much water should Mary pour into the vase?
The volume of a cylinder with height h and radius r is given by the formula:
V = πr²h

Answer 1

Answer:

150.796 in³ of water

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Geometry

• Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define

Radius r = 3 in

Height h = 8 in

Step 2: Find Volume V

1. Substitute [VC]:                    V = π(3 in)²(8 in)
2. Exponents:                           V = π(9 in²)(8 in)
3. Multiply:                                V = 72π in³
4. Multiply:                                V = 226.195 in³

Step 3: Find Water

2/3 of vase should be filled with H₂O.

1. Set up:                    2/3(72π in³)
2. Multiply:                  48π in³
3. Evaluate:                 150.796 in³