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4 years ago

If three geometric means are inserted between 120 and 15/2 what is geometric mean?

Mathematics

1 answer:

ruslelena [56]4 years ago

7 0

Step-by-step explanation:

If there are 3 geometric means between 120 and ¹⁵/₂, then the sequence is:

120, 120r, 120r², 120r³, ¹⁵/₂

Therefore:

120r⁴ = ¹⁵/₂

r⁴ = ¹/₁₆

r = ½

The sequence is therefore:

120, 60, 30, 15, ¹⁵/₂

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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

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Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

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

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Topic: Geometry

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If three geometric means are inserted between 120 and 15/2 what is geometric mean?​

If three geometric means are inserted between 120 and 15/2 what is geometric mean?