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3 years ago

What's the volume of the following cylinder?

Mathematics

1 answer:

Elan Coil [88]3 years ago

5 0

Answer:

Step-by-step explanation:

you have probably finished the quiz by now but anyway

so first flip the picture so that u see the cylinder standing on its base

12 is the diameter and 8 the height

12/2 = 6=radius

finally u do

πr $r^{2}$ h

3.14* $6^{2}$ *8

**i simplified π so the answer will be 904.32**

please vote if you found this helpful :)

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1/2expand the equation 1/2(3+4t-10)=

Ivanshal [37]

$\frac{1}{2} (3 + 4t - 10)$

$\frac{3}{2} + \frac{4t}{2} - \frac{10}{2}$

$(\frac{3}{2} - \frac{10}{2}) + 2t$

$\frac{ - 7}{2} + 2t$

$- 3.5 + 2t$

8 0

3 years ago

An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla

Marat540 [252]

Answer:

2.3 degrees.

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.

$tan(\theta)=\frac{60}{1500}$

$\theta=\tan^{-1}(\frac{60}{1500} )$

$\theta=\tan^{-1}(0.04)$

$\theta=2.290610042639$

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0

3 years ago

The ratio of the length of a rectangle to its width is 8 to 5. If the longer side of the rectangle is 20ft, what is the length o

choli [55]

Answer: The answer is 12.5 ft.

Step-by-step explanation: Given that there is a rectangle with ratio of its length to breadth 8 : 5. Also, the longer side of the rectangle is 20 feet. We are to find the length of the shorter side.

Let, '8x' and '5x' be the length and breadth of the rectangle respectively. Since length is the longer side, so we have

$8x=20\\\\\Rightarrow x=\dfrac{20}{8}\\\\\\\Rightarrow x=2.5.$