Question

Q.1 the curved surface area of a right circular cylinder of height 14 cm is 88 cm ^2 .find the diameter of the base of the cylinder . who have answer of this question so call me on my no. +919599394783​

Answer 1

$\sf\large\pink{\underbrace{Base\:_{(cylinder)}=2cm}}$

$\sf\large\underline\purple{Given:-}$

$\sf{\implies C.S.A\:_{(cylinder)}=88cm^2}$

$\sf{\implies Height\:_{(cylinder)}=14cm}$

$\sf\large\underline\purple{To\: Find:-}$

$\sf{\implies Diameter\:_{(cylinder)}=?}$

$\sf\large\underline\purple{Solution:-}$

• To calculate diameter at first we have to find out the radius of cylinder , to calculate calculate radius , we have to apply the formula of covered surface area of cylinder then putting the value which is given in the question and at last one more formula apply to calculate base of cylinder, we know that Diameter of base of cylinder is double of radius just apply D=R×2 by applying this formula you get required Answer:-]

$\sf\large\underline\purple{Formula\:used:-}$

$\sf{\implies C.S.A\:_{(cylinder)}=2\pi\:r\:h}$

$\sf{\implies Diameter\:_{(cylinder)}=r*2}$

$\tt{\implies 2*\dfrac{22}{7}*r*14=88}$

$\tt{\implies \dfrac{22*2*14*r}{7}=88}$

$\tt{\implies \dfrac{616r}{7}=88}$

$\tt{\implies 616r=616}$

$\tt{\implies r=1}$

• Now calculate base of cylinder:-]

$\sf{\implies Diameter\:_{(cylinder)}=r*2}$

$\sf{\implies Diameter\:_{(cylinder)}=1*2}$

$\sf{\implies Diameter\:_{(cylinder)}=2cm}$

$\sf\large{Hence,}$

$\sf{\implies Diameter\:_{(cylinder)}=2cm}$

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

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

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

➡ The Diameter of base of cylinder is 2 cm.

$\mathtt{\huge{\underline{\orange{Explaination :-}}}}$

GᏆᐯᗴᑎ ᗞᗩᎢᗩ :-

• The curved surface area of a right circular cylinder is 88 cm ²

• Its height is 14 cm.

Tᝪ ᖴᏆᑎᗞ :-

• The diameter of the the cylinderical base.

SᝪᏞᑌᎢᏆᝪᑎ :-

According to the question,

CSA = 2 π r h

The curved surface area of a right circular cylinder is 88 cm ².

➝88 = 2 π r h

We , know that diameter is 2r.

➝$\dfrac{2 \times 22 \times 14 \times r}{7} = 88$

➝ $\dfrac{616 \times r}{7} = 88$

➝ $r = \dfrac{88 \times 7}{616}$

➝ $r = \cancel{\dfrac{616}{616}}$

➝ r = 1 cm

Hence , its founded our radius to be 1 cm.

We know that diameter is 2r

➝ 2 × r

➝ 2× 1

➝ 2 cm

⟹ Hence, The Diameter of base of cylinder is 2cm.

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