Math, asked by uma35601, 11 months ago

The curved surface area of a right circular cylinder of height 14 cm is 88cm². Find the diameter of the base of the cylinder.​

Answers

Answered by madarchod143
2

Height (h) of cylinder = 14cm

Let the diameter of cylinder be d.

Curved Surface Area of Cylinder = 88cm square

2πrh = 88 cm square

π dh = 88 cm square. (d = 2r)

22/7 × d × 14 = 88 cm

d = 2 cm

Therefore,the diameter of the base of the cylinder is 2 cm

&lt;!DOCTYPE html&gt;</p><p></p><p>&lt;html&gt;</p><p></p><p>&lt;head&gt;</p><p></p><p>&lt;style&gt;</p><p></p><p>body {</p><p></p><p>position:relative;</p><p></p><p>background-color:#A9A9A9;</p><p></p><p>margin-left:20px;</p><p></p><p>margin-top: 90px;</p><p></p><p>}</p><p></p><p>h2{</p><p></p><p>position: relative;</p><p></p><p>font-weight: bolder;</p><p></p><p>text-align: center;</p><p></p><p>font: 30 30px/1.5 'Pacifico', Helvetica, sans-serif;</p><p></p><p>color:#000000;</p><p></p><p>text-shadow: 3px 3px 0px rgba(0,0,0,0.1), 7px 7px 0px rgba(0,0,0,0.05);</p><p></p><p>}</p><p></p><p>#face{</p><p></p><p>position: relative;</p><p></p><p>margin-left: 150px;</p><p></p><p>Width:100px;</p><p></p><p>Height:100px;</p><p></p><p>Border-radius:58px;</p><p></p><p>Background-color:white;</p><p></p><p>Border:2px solid black;</p><p></p><p>}</p><p></p><p>.ey1{</p><p></p><p>margin-top:15px;</p><p></p><p>Margin-left:20px;</p><p></p><p>Width:25px;</p><p></p><p>Height:35px;</p><p></p><p>Border-radius:50%;</p><p></p><p>Background-color:#000000;</p><p></p><p>Transform:rotate(45deg);</p><p></p><p>}</p><p></p><p>.ey2{</p><p></p><p>position: relative;</p><p></p><p>margin-top:-35px;</p><p></p><p>Margin-left:60px;</p><p></p><p>Width:25px;</p><p></p><p>Height:35px;</p><p></p><p>Border-radius:50%;</p><p></p><p>Background-color:#000000;</p><p></p><p>Transform:rotate(-45deg);</p><p></p><p>}</p><p></p><p>.puple1{</p><p></p><p>top:7px;</p><p></p><p>left:6px;</p><p></p><p>Width:8px;</p><p></p><p>Height:8px;</p><p></p><p>Border-radius:50px;</p><p></p><p>Background-color:white;</p><p></p><p>position:relative;</p><p></p><p>}</p><p></p><p>.p{</p><p></p><p>top:-50px;</p><p></p><p>left:10px;</p><p></p><p>Width:12px;</p><p></p><p>Height:10px;</p><p></p><p>Border-radius:85%;</p><p></p><p>Background-color:pink;</p><p></p><p>position:relative;</p><p></p><p>}</p><p></p><p>.p2{</p><p></p><p>top:-60px;</p><p></p><p>left:80px;</p><p></p><p>Width:12px;</p><p></p><p>Height:10px;</p><p></p><p>Border-radius:85%;</p><p></p><p>Background-color:pink;</p><p></p><p>position:relative;</p><p></p><p>}</p><p></p><p>.puple2{</p><p></p><p>top:7px;</p><p></p><p>left:6px;</p><p></p><p>width:8px;</p><p></p><p>height:8px;</p><p></p><p>Border-radius:50px;</p><p></p><p>Background-color:white;</p><p></p><p>position:absolute;</p><p></p><p>}</p><p></p><p>.ear1{</p><p></p><p>top:-54px;</p><p></p><p>left:-2px;</p><p></p><p>width: 30px;</p><p></p><p>height: 25px;</p><p></p><p>border-top-left-radius: 160px;</p><p></p><p>border-top-right-radius: 160px;</p><p></p><p>background:#000000;</p><p></p><p>position: relative;</p><p></p><p>Transform:rotate(-42deg);</p><p></p><p>z-index:-2;</p><p></p><p>}</p><p></p><p>.ear2{</p><p></p><p>top:-75px;</p><p></p><p>left:75px;</p><p></p><p>width: 30px;</p><p></p><p>height: 20px;</p><p></p><p>border-top-left-radius: 160px;</p><p></p><p>border-top-right-radius: 160px;</p><p></p><p>background:#000000;</p><p></p><p>position: relative;</p><p></p><p>Transform:rotate(42deg);</p><p></p><p>z-index:-2;</p><p></p><p>}</p><p></p><p>.nose{</p><p></p><p>position: relative;</p><p></p><p>left:40px;</p><p></p><p>top:-40px;</p><p></p><p>width: 0;</p><p></p><p>height: 0;</p><p></p><p>border-left: 10px solid transparent; border-right: 10px solid transparent;</p><p></p><p>border-top: 10px solid #000000;</p><p></p><p>}</p><p></p><p>.mouth{</p><p></p><p>position:absolute;</p><p></p><p>top:45px;</p><p></p><p>left:35px;</p><p></p><p>width:30px;</p><p></p><p>height:30px;</p><p></p><p>border-radius: 50%;</p><p></p><p>background: transparent;</p><p></p><p>transform: rotate(45deg);</p><p></p><p>box-shadow: 5px 5px 0 0 #000000;</p><p></p><p>}</p><p></p><p>.body{</p><p></p><p>top:-55px;</p><p></p><p>left:15px;</p><p></p><p>width:70px;</p><p></p><p>Height:100px;</p><p></p><p>Border-radius:40px;</p><p></p><p>Background-color:white;</p><p></p><p>border:2px solid black;</p><p></p><p>Position:relative;</p><p></p><p>z-index:-2;</p><p></p><p>}</p><p></p><p>.hand1{</p><p></p><p>top:-130px;</p><p></p><p>left:2px;</p><p></p><p>Width:20px;</p><p></p><p>Height:40px;</p><p></p><p>Border-radius:54px;</p><p></p><p>Position:relative;</p><p></p><p>Background-color:black;</p><p></p><p>transform:rotate(45deg);</p><p></p><p>z-index:-4;</p><p></p><p>animation:moving 2s infinite linear;</p><p></p><p>}</p><p></p><p>@keyframes moving{</p><p></p><p>0% {</p><p></p><p>transform: rotate(45deg);</p><p></p><p>}</p><p></p><p>50% {</p><p></p><p>transform: rotate(100deg);</p><p></p><p>}</p><p></p><p>100% {</p><p></p><p>transform: rotate(45deg);</p><p></p><p>}</p><p></p><p>}</p><p></p><p>.hand2{</p><p></p><p>top:-170px;</p><p></p><p>left:81px;</p><p></p><p>Width:20px;</p><p></p><p>Height:40px;</p><p></p><p>Border-radius:54px;</p><p></p><p>Position:relative;</p><p></p><p>Background-color:black;</p><p></p><p>transform:rotate(-45deg);</p><p></p><p>z-index:-4;</p><p></p><p>animation:moving1 2s infinite linear;</p><p></p><p>}</p><p></p><p>@keyframes moving1{</p><p></p><p>0% {</p><p></p><p>transform: rotate(-45deg);</p><p></p><p>}</p><p></p><p>50% {</p><p></p><p>transform: rotate(-100deg);</p><p></p><p>}</p><p></p><p>100% {</p><p></p><p>transform: rotate(-45deg);</p><p></p><p>}</p><p></p><p>}</p><p></p><p>.leg1{</p><p></p><p>top:-160px;</p><p></p><p>left:25px;</p><p></p><p>Width:20px;</p><p></p><p>Height:40px;</p><p></p><p>Border-radius:54px;</p><p></p><p>Position:relative;</p><p></p><p>Background-color:black;</p><p></p><p>z-index:-4;</p><p></p><p>}</p><p></p><p>.leg2{</p><p></p><p>top:-198px;</p><p></p><p>left:60px;</p><p></p><p>Width:20px;</p><p></p><p>Height:40px;</p><p></p><p>Border-radius:54px;</p><p></p><p>Position:relative;</p><p></p><p>Background-color:black;</p><p></p><p>z-index:-4;</p><p></p><p>}</p><p></p><p>p{</p><p></p><p>display:inline;</p><p></p><p>border-right:2px solid #000;</p><p></p><p>animation:blink 1s infinite linear;</p><p></p><p>}</p><p></p><p>@keyframes blink{</p><p></p><p>0%{</p><p></p><p>border-right:none;</p><p></p><p>}</p><p></p><p>100%{</p><p></p><p>border-right:2px solid #000;</p><p></p><p>}</p><p></p><p>}</p><p></p><p>&lt;/style&gt;</p><p></p><p>&lt;meta name="viewport" content="width=device-width, initial-scale=1.0"&gt;</p><p></p><p>&lt;/head&gt;</p><p></p><p>&lt;body&gt;</p><p></p><p>&lt;div id="face"&gt;</p><p></p><p>&lt;div class="ey1"&gt;</p><p></p><p>&lt;div class="puple1"&gt;&lt;/div&gt;</p><p></p><p>&lt;/div&gt;</p><p></p><p>&lt;div class="ey2"&gt;</p><p></p><p>&lt;div class="puple2"&gt;&lt;/div&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="ear1"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="ear2"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="nose"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="p"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="p2"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="mouth"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="body"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="hand1"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="hand2"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="leg1"&gt;&lt;/div&gt;</p><p></p><p>&lt;div class="leg2"&gt;&lt;/div&gt;</p><p></p><p>&lt;/div&gt;</p><p></p><p>&lt;/body&gt;</p><p></p><p>&lt;/html&gt;

Answered by TooFree
3

Answer:

2 cm

Step-by-step explanation:

The curved surface area of a cylinder:

area = 2πrh

Given that the height is 14 cm:

area = 2πr(14)

area = 28πr

Given that the area is 88 cm²:

area = 88 cm²

area = 28πr

28πr = 88

r = 88 ÷ 28π

r = 1 cm

Find the diameter:

Diameter = 2 x radius

Diameter = 2 x 1

Diameter = 2 cm

Answer: The diameter is 2 cm

Previous Question
Next Question
Similar questions
Math, 5 months ago
+2 -0 Q.3 If the point A(x,2) is equidistant from the pointa B(8,-2) and C(2,-2) then the value of x will be 1 5. 2 6 3 7 4 8​...
Geography, 5 months ago
what is answer 2+2=​...
Science, 5 months ago
Liquid and gases can expect pressure. How do flute expect pressure?​
Hindi, 11 months ago
Aana समान तुक वाले शब्द लिखिए​...
Math, 11 months ago
The vertices of a triangle ay D, E, F D (-1,8), E (4,-2), f(-5,-) find the equation of the side of ∆ DEF​...
Environmental Sciences, 1 year ago
The light that a star actually gives off...
Chemistry, 1 year ago
Why are all food articles preferably packed in aluminium foils?
Environmental Sciences, 1 year ago
Recreation, transportation, use of water at home are some ways people a. conserve water c. produce water b. use water d. none of the above...