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MrMuchimi
2 years ago
14

Find the volume of the cylinder.

Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is \pi r^2 h. We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16

The volume of the cylinder is 144π or 452.16 units³.

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What is the area of a square that measures 3.1 m on each side?
jasenka [17]

Answer:

The area of a square is S^2 where S is the length of the side.

Area = 3.1^2 = 3.1 x 3.1 = 9.61 m^2

8 0
3 years ago
Determined if the graph represents a polynomial function if it does determine the number of turning points and the least degree
skelet666 [1.2K]
  • <em>The graph of f is a polynomial function</em>
  • <em>There are two turning points, namely, x = 0  and x = -2</em>

<h2>Explanation:</h2>

A polynomial function in one variable is given by the form:

f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}

Since you haven't provided any expression, I'll choose the following function:

f(x)=x^{3}+3x^{2}+3

So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:

f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\  and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}

Conclusion:

  • <em>The graph of f is a polynomial function</em>
  • <em>There are two turning points, namely, x = 0  and x = -2</em>

<em />

<h2>Learn more:</h2>

Polynomial function: brainly.com/question/13729121

#LearnWithBrainly

7 0
3 years ago
Multiple Choice: A prism and a pyramid have identical bases and heights. The volume of the prism is: Twice as large as the pyram
Natali [406]

Answer:

<h3>Three times as large as the pyramid's volume</h3>

Step-by-step explanation:

Let the volume of prism be Vp

Let the Volume of pyramid be Vy

Vp = Base Area * Height .... 1

Vy = Base * Height/3 ....2

From 2;

Vp = BH/3

BH = 3Vy

Since Vp = BH, then;

Vp = 3Vy

This shows that the volume of prism is three times as large as pyramids volume

8 0
3 years ago
Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 9
poizon [28]

Answer:

60 packets

Step-by-step explanation:

Given that :

Unit cost of 20 packets

$5.49 / 20 =$0.2745

Unit cost of 60 packets :

$10.97 / 60 = $0.1828333

Unit cost of 90 packets :

$18.95 / 90 = $0.2105555

The 60 packets has the least cost per unit, hence it is the best buy.

5 0
3 years ago
(√2)^3
Natalka [10]

Answer:

√8

Step-by-step explanation:

√2x√2x√2 is 2x2x2 which is 8 then the square root √8.

6 0
3 years ago
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