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alisha [4.7K]
3 years ago
9

Question 60/62 (3.p.)

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

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Given the arc length of a circle is 127π centimeters and the subtended angle is 60˚. Find the Circumference of the circle.
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The circumference of the circle is 762π cm.

<h3>What is length of arc of a circle?</h3>

The length of arc a circle can is determined with the radius and central angle of the arc.

The radius of the circle is calculated as follows;

L = \pi r \times \frac{ \theta }{180} \\\\&#10;\pi r \theta = 180 L\\\\&#10;\pi  r = \frac{180 L}{\theta}

The circumference of the circle is calculated as follows;

C = 2\pi r\\\\&#10;C = 2(\pi  r)\\\\&#10;C = 2(\frac{180 \ L}{\theta } )\\\\&#10;C = 2(\frac{180 \times 127\pi}{60 } )\\\\&#10;C = 762 \pi \ cm

Learn more about circumference of a circle here: brainly.com/question/9782777

4 0
2 years ago
Mary spent a total of $352.24 for a party. She spent $200.29 on food, plus an additional $30.39 for each hour of the party. How
FinnZ [79.3K]

The answer should be 5 hours.

8 0
3 years ago
Read 2 more answers
Suppose that an angle is bisected to form two smaller angles that measure (2+30)° and (8+6)° . What is the measure of the origin
Valentin [98]

M<A=(2+30)  M<B=(8+6)

(2+30)+(8+6)

32+14

46

M<A+B=46

Answer: The original angle measured 46 Degrees

6 0
2 years ago
The difference between the set of non-negative real numbers and the set of positive real numbers is:
Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

4 0
3 years ago
Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =
dedylja [7]

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

5 0
3 years ago
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