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3 years ago

What is the surface area of the cylinder?

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

Surface area of the cylinder is 66π ft²

Step-by-step explanation:

We have to find the surface area of the given cylinder with radius r = 3 ft. and height h = 8 ft.

From the formula of the surface area of the cylinder.

Surface area = 2(πrh + πr²)

= 2π ( 3 × 8 + 3²)

= 2π ( 24 + 9) = 2π (33)

= 66π ft²

Surface area of the cylinder is 66π ft²

Ghella [55]3 years ago

4 0

Answer:
$66\pi \: ft^{2}$

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M is the midpoint of CD. Given the coordinates of one endpoint C(10,-5) and the midpoint M(4, 0), find the coordinates of the ot

mash [69]

Answer:

D(-2, 5).

Step-by-step explanation:

We are given that M is the midpoint of CD and that C = (10, -5) and M = (4, 0).

And we want to determine the coordinates of D.

Recall that the midpoint is given by:

$\displaystyle M = \left(\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2}\right)$

Let C(10, -5) be (x₁, y₁) and Point D be (x₂, y₂). The midpoint M is (4, 0). Hence:

$\displaystyle (4, 0) = \left(\frac{10+x_2}{2} , \frac{-5+y_2}{2}\right)$

This yields two equations:

$\displaystyle \frac{x_2 + 10}{2} = 4\text{ and } \frac{y_2 - 5}{2} = 0$

Solve for each:

$\displaystyle \begin{aligned}x_2 + 10 &= 8 \\ x_2 &= -2 \end{aligned}$

And:

$\displaystyle \begin{aligned} y_2 -5 &= 0 \\ y_2 &= 5\end{aligned}$

In conclusion, Point D = (-2, 5).

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2 years ago

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sergij07 [2.7K]

Answer:

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Step-by-step explanation:

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Taya2010 [7]

Answer:

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Step-by-step explanation:

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