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2 years ago

What is the exact volume of the cylinder?

Mathematics

2 answers:

kenny6666 [7]2 years ago

6 0

V = pi r^2 * h
V = pi * 9 * 6
V = 54 pi in^3

Amiraneli [1.4K]2 years ago

4 0

I think this would be 54. :)

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A: What is the smallest increment on the voltmeter

oee [108]

Answer:

RESOLUTION

Step-by-step explanation:

Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.

4 0

2 years ago

Ху

Galina-37 [17]

Answer:

Step-by-step explanation:

-2 over 3 is it cuz -4 over 6 simplifies to that and all the others do too

8 0

2 years ago

How to solve this? \int \frac { 4 - 3 x ^ { 2 } } { ( 3 x ^ { 2 } + 4 ) ^ { 2 } } d x

ivanzaharov [21]

$\Large \mathbb{SOLUTION:}$

$\begin{array}{l} \displaystyle \int \dfrac{4 - 3x^2}{(3x^2 + 4)^2} dx \\ \\ = \displaystyle \int \dfrac{4 - 3x^2}{x^2\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ = \displaystyle \int \dfrac{\dfrac{4}{x^2} - 3}{\left(3x + \dfrac{4}{x}\right)^2} dx \\ \\ \text{Let }u = 3x + \dfrac{4}{x} \implies du = \left(3 - \dfrac{4}{x^2}\right)\ dx \\ \\ \text{So the integral becomes} \\ \\ = \displaystyle -\int \dfrac{du}{u^2} \\ \\ = -\dfrac{u^{-2 + 1}}{-2 + 1} + C \\ \\ = \dfrac{1}{u} + C \\ \\ = \dfrac{1}{3x + \dfrac{4}{x}} + C \\ \\ = \boxed{\dfrac{x}{3x^2 + 4} + C}\end{array}$

5 0

3 years ago

How much interest is earned in 2 years on an investment of $2000? The interest rate is 3%.

Lelechka [254]

In this sum we will calculate using the simple interest.

Simple interest is calculated from the formula :

I = PRT

where I is the interest, P is the principal, R is interest rate per year and t is time in years.

I = 2000 × 3 % x 2

We have to turn 3% to its decimal fraction which is 0.03, so:

I = 2000 × 0.03 × 2

I = 60 × 2

I = 120

Therefore the interest earned in two years will amount to 120 $

7 0

2 years ago

Find the value of x?

Burka [1]

Answer:

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angle. 

Step-by-step explanation:

25x + 57 + x = 45x

26x + 57 = 45x

57 = 45x - 26x

19x = 57

Therefore x = 3

Hope it will help you

3 0

3 years ago