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bija089 [108]
3 years ago
13

2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer:

It's required 7.48\ m^2 of sheet for the tank

Step-by-step explanation:

<u>Surface Area of a Cylinder</u>

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

S=2\pi r^2+2\pi r h

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

S=2\pi 0.7^2+2\pi (0.7)(1)

S=2\pi 0.49+1.4\pi

S=2.38\pi

\boxed{S=7.48\ m^2}

It's required 7.48\ m^2 of sheet for the tank

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.9(29.3) = 26.37

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Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how man
pshichka [43]

Answer:

Javon purchase Energy cards = 52

Javon purchase Dragon cards = 75

Step-by-step explanation:

Given - Javon spent $687 on pokemon cards. Energy cards cost $6

             and dragon cards cost $5.

To find - If he bought a total of 127 packs then how many of each did he buy ?

Proof -

Let Javon purchase Energy cards = x

     Javon purchase Dragon cards = y

Now,

Given that he bought a total of 127 packs

⇒x + y = 127

Also,

Cost for 1 Energy card = $6

⇒Cost of x Energy cards = $ 6x

And

Cost of 1 Dragon card = $5

⇒Cost of y Dragon card = $ 5y

Now,

Given that Javon spent $687 on pokemon cards.

⇒6x + 5y = 687

∴ we get

x + y = 127                                 ..................(1)

6x + 5y = 687                            .................(2)

Multiply by 6 in equation (1) , we get

6(x + y) = 6(127)

⇒6x + 6y = 762                          .................(3)

Now,

Subtract equation (2) from equation (1) , we get

6x + 6y - (6x + 5y )= 762 - 687

⇒6x + 6y - 6x - 5y = 75

⇒y = 75

Now,

Put the value of y in equation (1), we get

x + 75 = 127

⇒x = 127 - 75

⇒x = 52

∴ we get

Javon purchase Energy cards = x = 52

Javon purchase Dragon cards = y = 75

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