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ICE Princess25 [194]
3 years ago
6

A cylinder has a radius of 10 m and a height of 8 m what is the exact volume of he cylinder

Mathematics
2 answers:
xenn [34]3 years ago
7 0

Answer:

V = 800π

Step-by-step explanation:

The formula for volume of a cylinder is V = πr²h  where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 10, and h = 8.  Plug them in and solve for V...

V = π(10²)(8)

    V = π(100)(8)

          V = 800π

This is the EXACT answer.  Leave it in terms of pi.  If you multiply out pi, you have to round, then you have an estimated answer.

S_A_V [24]3 years ago
4 0

\bf \textit{volume of a cylinder}\\\\ V = \pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8) \\\\\\ V=800\pi \implies V\approx 2513.27

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Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
kirill115 [55]

Answer:

2(x + 1) = 10

x = 4

Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10      

Use Subtraction property of equality

A = B, then A - C = B - C

Subtracting 2 from both sides:

2x + 2 - 2 = 10 - 2

2x = 8                  Step 3

Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

2x/2 = 8/2

x = 4

This means value of x is 4

Another method to solve this equation is:

2(x+1)=10  

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)  

2*(x+1) = 2x + 2  

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2  

2x = 8  

Using division property

AX = B  

AX / A = B / A

So

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2  

2x / 2 = 8 / 2  

x = 4

3 0
3 years ago
There were 7 inches of rain in 24 hours. What is the average amount of rain per hour ​
Mademuasel [1]

Answer:

7 /24 inch per hour

Step-by-step explanation:

To find the average amount of rain, take the total amount of rain and divide by the time

7 inches / 24 hours

7 /24 inch per hour

7 0
3 years ago
there are 12 students who play the clarinet and 16 students who play the viola. what does the ratio 16:12 describe?​
Oksi-84 [34.3K]

Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

Step-by-step explanation:

Given : Number of students who play the clarinet= 12

Number of students who play the viola=16

We know that ratio of A to B is represented by A:B.

Since, the number '12' is representing " students who play the clarinet" and  number '16' is representing  " students who play the viola"

So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

6 0
3 years ago
Please help will give give brainliest.
IRINA_888 [86]

..........................

8 0
3 years ago
Read 2 more answers
Two angles are supplementary one angle measure 12 more than the other find the measures
Furkat [3]
We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
5 0
3 years ago
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