What is the volume of the cylinder below? A. 72π units³

B. 36π units³

C. 45π units³

D. 90π units³

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

According to the diagram, the radius of this cyl. is 3 and the height is 4 (not 5). The formula for the volume of a cylinder is:

V = pi*r^2*h.

Here, that volume is V = pi*3^2*4, or 36 pi cubic units. That's Answer B.

Answer 2

Answer:

The volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Further explanation:

The formula for the volume of the cylinder can be expressed as,

$\boxed{{\text{Volume}} = \pi {r^2}h}$

Here, ‘r” represents the radius of the cylinder and “h” represents the height of the cylinder.

Given:

The radius of the cylinder is ${\text{3 units}}$ and the height of the cylinder is ${\text{4 units}}$ and the slant height is $5{\text{ units}}$

The options of the volume are given as follows.

A. ${\text{72}}\pi {\text{uni}}{{\text{t}}^3}$

B. $36\pi {\text{uni}}{{\text{t}}^3}$

C. $45\pi {\text{uni}}{{\text{t}}^3}$

D. $90\pi {\text{uni}}{{\text{t}}^3}$

Explanation:

The volume of the right cylinder can be obtained as follows,

$\begin{aligned}{\text{Volume}} &= \pi {r^2}h\n&= \pi* {\left( 3 \right)^2} * 4\n&= \pi * 9 * 4\n&= 36\pi\n\end{aligned}$

The volume of the cylinder is $36\pi {\text{ unit}}{{\text{s}}^3}.$

Option A is not correct.

Option B is correct.

Option C is not correct.

Option D is not correct.

Hence, the volume of the right cylinder is $\boxed{36\pi {\text{ unit}}{{\text{s}}^3}}.$

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Mensuration

Keywords: Cylinder, surface area of the cylinder, volume of the cylinder, right cylinder, 72, 36, 45, 90, height, radius depth.

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Given this equation, what is the largest possible value for z?

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Hello,
z=-2x²+15x-3y²+21y-6
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The max is for x-15/2=0 and y-7/2=0 thus 537/4

Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?

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Zara ate 50 almonds last week which is 150% as many as she ate last week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

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Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. 80 in² 135 in² 160 in²

Answers

Answer:

Option 1st is correct

area of a triangle is, 80 in²

Step-by-step explanation:

Area of triangle(A) is given by:

$A = (1)/(2) b \cdot h$

where,

b is the base

h is the height or altitude of the triangle respectively.

As per the statement:

Base of a triangle(b) = 10 inches and

Height = altitude(h) = 16 inches

Substitute these in [1] we get:

$A = (1)/(2)(10) \cdot 16$

⇒ $A = 5 \cdot 16 = 80$ in²

Therefore, the area of a triangle is, 80 in²

10 × 16 = 160
160 / 2 = 80

Your answer would be 80in²

Hope that helps!

Which of the following is the value of e^2 correct to 3 decimal places A:73.890
B:7.3893
C:7.389
D:738.9

Answers

Final answer:

The numerical constant 'e' equals approximately 2.71828. If we square 'e,' we get the approximate value of 7.38905. Rounding to three decimal places, the correct answer is 7.389.

Explanation:

The constant e is an essential numerical constant that is the base of the natural logarithm. It is approximately equal to 2.71828. When you want to find the value of e^2, meaning 'e' squared, you multiply 'e' by itself.

To find the value to 3 decimal places, we operate: 2.71828 * 2.71828= 7.38905.

Therefore, rounding to 3 decimal places, e^2 is equal to 7.389. So, the correct answer to your question is option C: 7.389.

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Answer:

Step-by-step explanation:

How do you write the standard number 0.00009 in scientific notation?9 × 10-5
9 × 10-4
90 × 10-4
9 × 10-6

Answers

$0.\underbrace{00009}\n~~~~~~~5\n\n\n0.00009 =\boxed{\bf{ 9 * 10^(-5)}}$

Your answer is A.

Fyi everyone, random231 is awesomeFor a craft project, four students each chose three pieces of wire from a box.

Don’s wires measure 3 inches, 5 inches, and 12 inches.
Margo’s wires measure 6 inches, 8 inches, and 14 inches.
Sonji’s wires measure 12 inches, 8 inches, and 17 inches.
Liam’s wires measure 16 inches, 8 inches, and 27 inches.

Which student chose pieces that can be used to construct a triangle?

a. Don
b. Margo
c. Sonji
d. Liam

Answers

Answer:

C. Sonji

Step-by-step explanation:

Since, a triangle is possible if the sum of any two sides is greater than third side,

The measure of Don’s wires,

3 inches, 5 inches and 12 inches

Since, 3 + 5 < 12

Thus, by the above statement we can not make a triangle with The measure of Don’s wires.

The measures of Margo's wires,

6 inches, 8 inches and 14 inches,

Since, 6 + 8 = 14,

⇒ we can not make a triangle with The measure of Margo's wires.

The measures of Sonji's wires,

12 inches, 8 inches, and 17 inches,

12 + 8 > 17,

8 + 17 > 12

12 + 17 > 8

⇒ we can make a triangle with the measure of Sonji's wires.

The measures of Liam’s wires,

16 inches, 8 inches, and 27 inches

16 + 8 < 27

⇒ we can not make a triangle with The measure of Liam’s wires.

Hence, option 'C' is correct.

your answer would be sonji's

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What is the volume of the cylinder below? A. 72π units³

B. 36π units³

C. 45π units³

D. 90π units³