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2 years ago

What is the surface area of a cone with diameter 28 cm and height 22 cm in terms of pi?

Mathematics

2 answers:

Ksenya-84 [330]2 years ago

8 0

The surface area of a cone equation is something really annoying to type out so look at the picture. radius=1/2diameter so r=14. h=22 Plug in the equation to get 561pi.
Just use ur calculator.

enot [183]2 years ago

3 0

<h2>Answer:</h2>

The surface area of a cone with diameter 28 cm and height 22 cm in terms of pi is:

c. 561.1 pi cm²

<h2>Step-by-step explanation:</h2>

The diameter of cone= 28 cm

Radius of cone is half the diameter this means that:

Radius(r) of cone= 14 cm

Also, height(h) of cone= 22 cm

We know that the surface area of cone is given by:

$Surface\ Area=\pi r(r+\sqrt{h^2+r^2})$

Now as we know the value of h and r hence we will substitute these values in the formula to get:

$Surface\ Area=\pi \times 14(14+\sqrt{(14)^2+(22)^2})\\\\\\Surface\ Area=14\pi (14+26.07681)\\\\\\surface\ Area=14\pi\times 40.07681\\\\\\Surface\ Area=561.07534\pi cm^2$

Hence, the surface area of cone is: 561.1π cm²

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Answer:

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Step-by-step explanation:

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2 years ago

What is tan angle QTR if line PR is tangent to circle T at Q, and TS = 1 cm?

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Tangent = opposite / adjacent

In the diagram:
TQ is the short leg or the opposite
QR is the long leg or the adjacent
TR is the hypotenuse. TS is part of the hypotenuse.

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2 years ago

Find the greatest common factor of 30 and 75.

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Answer:

Step-by-step explanation:

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3 years ago

Four more than six times a number is at least 40. Find the possible range of values.

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2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
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3 years ago

slader (a) Find parametric equations for the line through (4, 1, 8) that is perpendicular to the plane x − y + 4z = 2. (Use the

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Answer:

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

xy - plane (x, y, z) = (2, -1, 0)

yz - plane (x, y, z) = (0, 5, -8)

xz - plane (x, y, z) = (5, 0, 12)

Step-by-step explanation:

The given point (x, y ,z) = (4, 1, 8)

The plane x -y + 4z = 2

Normal vector (n) = < 1, -1, 4 >

The equation of line through point (4, 1, 8) and the plane is:

(x(t), y(t), z(t)) = (4, 1, 8) + t(1, -1, 4)

(x(t), y(t), z(t)) = (4 + t, 1 - t, 8 + 4t)

Any point on the line P(x, y, z) = ( 4 + t, 1 - t, 8 + 4t)

xy-Pane ⇒ z = 0

8 + 4t = 0

4t = - 8

t = -8/4

t = -2

∴

(x, y, z) = (4 - 2, 1 - 2, 8 + 4(-2))

(x, y, z) = (2, -1, 0)

yz-plane ⇒ x = 0

4 + t = 0

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∴

(x, y, z) = (4 + (-4) , 1-(-4), 8 + 4(-4)

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xz-plane ⇒ y = 0

1 - t = 0

-t = -1

t = 1

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(x, y, z) = ( 4 + 1, 1 - 1, 8 + 4(1) )

(x, y, z) = (5, 0, 12)

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