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netineya [11]
2 years ago
5

the highest of three cylinders are 3 cm 9 cm and 5 cm if the cylinder has a capacity of 725 calculate the capacitance of the oth

er cylinders ​
Mathematics
1 answer:
Allushta [10]2 years ago
6 0

The capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

<h3>How to find the capacitance</h3>

Capacity of a cylinder is seen as its volume

Volume of a cylinder = πr²h

The heights of the cylinders are

a. 3cm

b. 9cm

c. 5cm

Let's find the radius

Capacity = 3. 142 × r² × 3

725 = 3. 142 × r² × 3

r² = \frac{725}{3. 142 * 3}

r² = \frac{725}{9. 426}

r² = 76. 91

r = √76. 91

r = 8. 77cm

Radius of the cylinders = 8. 77cm

For cylinder with height of 9cm

Capacitance = πr²h

Capacitance = 3. 142 × 8. 77 × 8. 77 × 9

Capacitance = 2174. 94 cm³

For cylinder with height of 5cm

Capacitance = 3. 142 × 8. 77 × 8. 77 × 5

Capacitance = 1208. 30 cm³

Thus, the capacitance of the other cylinders are 2174. 94cm³ and 1208. 30cm³.

Learn more about volume of a cylinder here:

brainly.com/question/9554871

#SPJ1

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Here is the formula:

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Formula for mixed numbers to improper fraction is:

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3 years ago
Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Luba_88 [7]

Answer:

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

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L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

Step-by-step explanation:

We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:

B(5,2) \:\: C(7,-5)=\frac{2--5}{5-7} =-3.5

D(11,6)\:\: E(5,9)=\frac{6-9}{11-5} =-0.5

H(4,4)\:\: I(8,9)=\frac{4-9}{4-8} =1.25

L(5,-7)\:\: M(4,-12)=\frac{-7--12}{5-4} =5

F(-7,12)\:\: G(3,-8)=\frac{12--8}{-7-3}=-2

J(7,2)\:\:K(-9,8) =\frac{2-8}{7--9} =-0.375

Now,

the slope of the line BC matches with the slope of  y=-3.5x-15.

the slope of the line DE matches with the slope of y=-0.5x-3.

the slope of the line HI matches with the slope of y=1.25x+4.

the slope of the line LM matches with the slope of  y=5x+9.

and the slopes of the lines FG and JK do not match with any of the functions given.

Thus,

B(5,2) \:\: C(7,-5) \:\: \rightarrow y=-3.5x-15

D(11,6)\:\: E(5,9)\:\: \rightarrow y=-0.5x-3

H(4,4)\:\: I(8,9) \:\: \rightarrow y=1.25x+4

L(5,-7)\:\: M(4,-12)\:\: \rightarrow y=5x+9

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