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2 years ago

Find the volume of the cone. Round your answer to the nearest tenth.

Mathematics

1 answer:

Roman55 [17]2 years ago

8 0

Answer:

65.4 cubic inches

Step-by-step explanation:

Formula for the volume of a cone :

Volume (cone) = 1/3πr²h

=============================================================

Given :

⇒ diameter = 5 in. → radius = 2.5 in.

⇒ height = 10 in.

===========================================================

Solving :

⇒ Volume (cone) = 1/3 × π × (2.5)² × 10

⇒ Volume (cone) = 62.5π/3

⇒ Volume (cone) = 65.4 cubic inches

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Water has a “bent” geometry. Which explanation does not explain why? Water’s oxygen has unbonded electron pairs that repel each

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4 years ago

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Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

d = common difference between adjacent numbers

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

Tn = n-th term of the sequence

Sn = sum of the first n numbers of the sequence

a = the initial term of the sequence

r = common ratio between adjacent numbers

Let us now tackle the problem!

$\texttt{ }$

Given:

f(n) = n² - 3

Asked:

f(5) = ?

Solution:

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

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1 year ago

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