Find the value of x for whichA.31B.43C.121D.47
1 answer:
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The volume of a given cylinder is directly proportional to its height.
When determining the volume of a cylinder, we take;
= Base Area(BA) of the cylinder * Height of the cylinder
This automatically proves that when the BA and Height of a particular cylinder is high, the results of its volume is also high.
<em>From the above statement, it is very correct to state that the </em><em>Height of a cylinder</em><em> is directly proportional to the </em><em>volume of a cylinder.</em>
<em></em>
It is also correct to state that the BA of a cylinder is directly proportional to the volume.
<u>Consider the image of the cylinder attached.</u>
Assuming we were to calculate the volume of water from different heights of the cylinder, for example;
Height1= 15 cm
Height2=10 cm
Radius=9 cm
V=
The volume of the different heights will be;
Height1= *
* 15= 3, 818. 57
Height2= *
* 10= 2, 545. 71
Hence the bigger height will result to bigger volume.
To find more on volume of cylinder, look into:
#SPJ4
Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Check the picture below.
