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Leni [432]
3 years ago
8

Find the surface area of a cylinder with a height of 7 m and a base radius of 6 m.

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

489.84 m²

Step-by-step explanation:

Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)

Area of both 2d circles: 113.04 + 113.04 =226.08 m²

Now we have to find the width of the rectangle, which is equal to the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)

We can find the area of the rectangle now, since the length was given

Area of rectangle: 37.68· 7= 263.76 m²

Surface Area: 263.76+226.08= 489.84m²

Hopefully this helps!

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What is the volume of the cylinder? Round to the nearest 10th.
nata0808 [166]

Answer:169.7

Step-by-step explanation:

To find the volume of a cylinder you can use the math formula πr^2H where r is the radius and H is the height. If you plug in the values you get π3^2(6) simplify 3^2 to get (9π)(6), you can multiply 9 by 6 to get 54 then multiply that by 3.1415 to get 169.65 which rounds to 169.7

6 0
3 years ago
Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES.<br> I don't want links.
alexandr1967 [171]

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  \dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}

Such division is carried out by first finding the quotient of the highest-degree terms:

  \dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

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The attachment shows the long division.

7 0
3 years ago
A sphere has a volume of 36π in3. What is the radius of the sphere?
amm1812

Answer:

r = 3 inches

Step-by-step explanation:

The formula for the volume of a sphere is the following:

V = (4π/3)r^3

You know the volume so plug that in for V:

36π = (4π/3)r^3

27 = r^3 (multiply by 3/4π to get r^3 by itself)

r = 3 (you take the cube root of r and 27 to get the value of r)

Hope this helps :)

3 0
3 years ago
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3 years ago
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100 POINTS AND BRAINLIEST
zysi [14]

Answer:

8 square units and \frac{40}{3} square units

Step-by-step explanation:

The area of the triangle ABC is 24 square units.

1. Triangles ABC and FBG are similar with scale factor \frac{1}{3}, then

\dfrac{A_{\triangle FBG}}{A_{\triangle ABC}}=\dfrac{1}{9}\Rightarrow A_{\triangle FBG}=\dfrac{1}{9}\cdot 24=\dfrac{8}{3}\ un^2.

2. Triangles ABC and DBE are similar with scale factor \frac{2}{3}, then

\dfrac{A_{\triangle DBE}}{A_{\triangle ABC}}=\dfrac{4}{9}\Rightarrow A_{\triangle DBE}=\dfrac{4}{9}\cdot 24=\dfrac{32}{3}\ un^2.

3. Thus, the area of the quadrilateral DFGE is

A_{DFGE}=A_{\triangle DBE}-A_{\triangle FBG}=\dfrac{32}{3}-\dfrac{8}{3}=8\ un^2.

and the area of the quadrilateral ADEC is

A_{ADEC}=A_{\triangle ABC}-A_{\triangle DBE}=24-\dfrac{32}{3}=\dfrac{40}{3}\ un^2.

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3 years ago
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