What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to t

Question

2 years ago

10

he nearest tenths place?

1 answer:

stealth61 [152] · Answer 1 · 2023-01-13T07:32:23+03:00

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Geometry

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

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

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