Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
<h3><u>Ⲁⲛ⳽ⲱⲉⲅ:</u></h3>
<h3>
<u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>
<u>We </u><u>are </u><u>given </u><u>that </u><u>:</u>
- Height of cylinder = 21 cm
- Radius of cylinder = 24 cm
<u>Therefore, Volume :</u>
➙ V = πr²h
➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )
➙ V = ( 22 / 7 ) × 576 × 21
➙ V = ( 22 × 576 × 21 ) / 7
➙ V = 266112 / 7
➙ V = 38016
ㅤㅤ ㅤㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume</u><u> </u><u>of </u><u>given</u><u> </u><u>cylinder</u><u> </u><u>is </u><u>3</u><u>8</u><u>,</u><u>0</u><u>1</u><u>6</u><u> </u><u>cm³</u><u>.</u>
<h3>
<u>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</u></h3>
The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.
The Formula for volume of cylinder is given by :
ㅤㅤㅤㅤㅤ➙ πr²h
Answer: The answer is B (or the second one)