Answer
Verified
425.1k+ views
Hint: To solve this problem we have to use the formula of curved surface area of a cylinder, and we should also know the relation between radius and diameter which is basic but important.
Complete step-by-step answer:
Given the curved surface area of the circular cylinder =$88c{m^2}$.
Also given that height of (h) = 14cm
We know that curved surface area of circular cylinder = $2\pi rh$
Then we can say that
$ \Rightarrow 2\pi rh = 88$
$ \Rightarrow 2\pi r \times 14 = 88$ $[\because h = 14cm]$
$ \Rightarrow r = \dfrac{{88 \times 7}}{{28 \times 22}}$
$ \Rightarrow r = 1$
Therefore radius = 1cm
But here we have to find the diameter, we know that
d=2r
d=2(1) =2
Hence the diameter of the curved surface area of circular cylinder = 2cm
Note: In this problem they have given the value of the curved surface area of the circular cylinder where we have equated to its general formula, the formula includes the height which is already given in question. Now on substituting all required values we will get the radius of the circle but here we have to find the diameter. Since we know that diameter is twice the radius so now by using this relation we get the diameter of base of a cylinder which is our answer.
Complete step-by-step answer:
Given the curved surface area of the circular cylinder =$88c{m^2}$.
Also given that height of (h) = 14cm
We know that curved surface area of circular cylinder = $2\pi rh$
Then we can say that
$ \Rightarrow 2\pi rh = 88$
$ \Rightarrow 2\pi r \times 14 = 88$ $[\because h = 14cm]$
$ \Rightarrow r = \dfrac{{88 \times 7}}{{28 \times 22}}$
$ \Rightarrow r = 1$
Therefore radius = 1cm
But here we have to find the diameter, we know that
d=2r
d=2(1) =2
Hence the diameter of the curved surface area of circular cylinder = 2cm
Note: In this problem they have given the value of the curved surface area of the circular cylinder where we have equated to its general formula, the formula includes the height which is already given in question. Now on substituting all required values we will get the radius of the circle but here we have to find the diameter. Since we know that diameter is twice the radius so now by using this relation we get the diameter of base of a cylinder which is our answer.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE