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antiseptic1488 [7]
2 years ago
11

If 90 is the height, and 13.5 is the radius, then what is the surface area of this cylinder?

Mathematics
1 answer:
a_sh-v [17]2 years ago
3 0
-------------------------------------------------------------------------
Formula
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Surface area = 2πr² + 2πrh

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Find Surface Area
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Total surface area = 2 x π x (13.5)² + 2 x π x (13.5) x (90)
Total surface area = 364.5π + 2430π
Total surface area = 2794.5π
Total surface area = 8774.73 unit² (Take π as 3.14)

-------------------------------------------------------------------------
Answer: 8774.73 unit²
-------------------------------------------------------------------------
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23

Step-by-step explanation:

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The price of an item has been reduced by 85%. The original price was $37.
Tema [17]

Answer:  <em>Multiply the original price by the decimal form of the percent and subtract that from the original price. </em>

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7 0
2 years ago
A cube of sides 10cm was cut across to obtain a prism. Calculate the surface area of the prism and the volume of the prism
hodyreva [135]

Answer:

Part A

The volume of the triangular prism is 500 cm³

Part B

The total surface area of the prism is approximately 441.42 cm²

Step-by-step explanation:

The given details are;

The dimensions of the side length of the cube, s = 10 cm

The shape the cube was cut across to obtain = A prism

Part A

Whereby the prism obtained is a triangular prism, we have;

The cube can be cut in half to form a triangular prism

The volume of each triangular prism obtained = (1/2) × The volume of the cube

∴ The volume of the triangular prism = (1/2) × (10 cm)³ = 500 cm³

Part B

The height of the prism, h = 10 cm × sin(45°) = 5·√2 cm = (1/2) × The base width of the prism

The triangular cross sectional area of the prism, A₁ = 5·√2 × 5·√2 = 50

The square cross sectional area, A₂  = 10 × 10 = 100

The cross sectional area of the base, A₃ = 10·√2 × 10 = 100·√2

The total surface area of the prism, A = 2·A₁ + 2·A₂ + A₃

∴ A = 2×50 + 2×100 + 100·√2 = 300 + 100·√2 ≈ 441.42

The total surface area of the prism, A ≈ 441.42 cm²

4 0
3 years ago
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Vilka [71]

Answer:

Two solutions were found :

x = -4

x = 1/2 = 0.500

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x - 1) • (x + 4)  = 0

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    2x-1 = 0

Add  1  to both sides of the equation :

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Divide both sides of the equation by 2:

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Solving a Single Variable Equation :

2.3      Solve  :    x+4 = 0

Subtract  4  from both sides of the equation :

                     x = -4

Two solutions were found :

x = -4

x = 1/2 = 0.500

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
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pashok25 [27]


5 feet bc...

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3 years ago
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