Question

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What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answer 1

`\large\fbox{B. 5070 π inches³}`

Explanation:

We have given that :-

• Radius of cylinder , r = 13 inches
• Height of cylinder , h = 30 inches

We need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

• r is the radius of cylinder
• h is the height of cylinder

Solution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

Answer 2

B. 5070π in³

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

Geometry

Volume of a Cylinder Formula: V = πr²h

• r is radius
• h is height

Explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

1. Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)
2. Evaluate exponents: V = π(169 in²)(30 in)
3. Multiply: V = 5070π in³