Question

What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?

Answer 1

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

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 Formula [Cylinder]:
$\displaystyle V = \pi r^2 h$

• r is radius
• h is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

1. [Volume Formula - Cylinder] Substitute in variables:
   $\displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})$
2. [Order of Operations] Evaluate:
   $\displaystyle V = 500 \pi \ \text{cm}^3$
3. Approximate:
   $\displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }$

∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is approximately 1570.8 cm³.

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Learn more about Geometry: brainly.com/question/9774838

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Topic: Geometry