Answers
Answer:
1. The ratio of their diameters is 8/5 = 8 : 5
2. The ratio of their surface area is (8/5)²
3. The ratio of their volume is (8/5)³
4.The area of the base of the larger cylinder is 128 cm²
Step-by-step explanation:
Given that the two cylinders are similar, we have;
Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii
Therefore, we have;
1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂
The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5
The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5
2. The surface area of the cylinders = 2·π·r·h + 2·π·r²
Therefore, we have;
(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)
h₁ = h₂ × 8/5
r₁ = r₂ × 8/5
= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²) = (8/5)²
The ratio of their surface area = (8/5)²
3. The volume of the cylinder = π·r²·h
∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³
The ratio of their volume = (8/5)³
4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²
Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)² = 128 cm²
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Step-by-step explanation:
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Answers
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
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a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
...................
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Answers
Answer
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
I'm so sorry!!
Answer:
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of 59 22' with the horizontal.
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Step-by-step explanation:
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Answers
Answer:
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Answers
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Answers
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Answers
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Answers
Answer:
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Step-by-step explanation:
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