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lbvjy [14]
3 years ago
12

The total surface area of a cylinder is 690.8. Its diameter is 10 inches. What is it’s height?

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

h=17\ in

Step-by-step explanation:

we know that

The total surface area of a cylinder is equal to

SA=2\pi r^{2}+2\pi rh

where

r is the radius of the base of cylinder

h is the height of cylinder

we have

SA=690.8\ in^2

r=10/2=5\ in ----> the radius is half the diameter

assume

\pi=3.14

substitute the given values and solve for h

690.8=2(3.14)(5^{2})+2(3.14)(5)h

690.8=157+31.4h

Solve for h

31.4h=690.8-157

31.4h=533.8

h=17\ in

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A circle with area 36pi has a sector with a central angle of 48°. what is the area of the sector?
Elza [17]

Answer:4.8π

Step-by-step explanation:

Φ=48°

Area of circle=36π

Area of circle=π x r^2

36π=πr^2

Dividing both sides by π we get

r^2=36π/π

r^2=36

Take them square root of both sides

√(r^2)=√(36)

r=6

Area of sector=Φ/360 x π x r x r

Area of sector=48/360 x π x 6 x 6

Area of sector=(48xπx6x6)/360

Area of sector=1728π/360

Area of sector=4.8π

4 0
4 years ago
Betsy uses 8.8 of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint. And th rest is white
UNO [17]

Answer:

6.6 pints of white paint is used to paint the bedroom walls

Step-by-step explanation:

Pints of blue paint used to paint the bedroom walls = 8.8

Ratio of blue paint used = \frac{1}{4}

Therefore,

Ratio of white paint used = 1-\frac{1}{4}=\frac{3}{4}

Pints of white paint used to paint the bedroom walls = \frac{3}{4}(8.8)=3(2.2)=6.6

Therefore,

6.6 pints of white paint is used to paint the bedroom walls.

7 0
3 years ago
A number increased by 5 and divided by 2 is equal to 75. What is the number?
USPshnik [31]

Answer:

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Step-by-step explanation:

We will let x equal our unknown number. So:

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Now we can solve for x

We can first multiply both sides of the equation by 2. This will get rid of the fraction on the left side:

x + 5 = 75 * 2 ----->

x + 5 = 150

Next, subtract 5 from both sides:

x + 5 - 5 = 150 - 5 ----->

x = 145

7 0
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borishaifa [10]

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LUCKY_DIMON [66]

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Just took the test

8 0
3 years ago
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