Question

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

Answer 1

Given:-

• Height,h = 14 m

• Curved surface area of a right circular cylinder = 88 cm²

To find out:-

Find the diameter of the base of the cylinder ?

Formula used:-

Curved surface area of cylinder = 2πrh

Solution:-

We know that,

Curved surface area of cylinder = 2πrh

★ Substituting the values in the above formula,we get:

⇒ 88 = 2 × 22/7 × r × 14

⇒ 88 = 44/7 × r × 14

⇒ 88 = 44 × 2 × r

⇒ 88 = 88 × r

⇒ r = 88/88

⇒ r = 1 cm

Now,

Diameter = 2( Radius )

= 2 × 1

= 2 cm

Hence,the diameter of the base of the cylinder is 2 cm.

Answer 2

✯✯ QUESTION ✯✯

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

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✰✰ ANSWER ✰✰

• C.S.A of Cylinder = 88cm²
• Height = 14cm
• Diameter = ?

➥Using Formula : -

$\longmapsto\tt{\small{\boxed{\bold{\bold{\blue{\sf{C.S.A\:of\:Cylinder=2\pi{rh}}}}}}}}$

➥Putting Values : -

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

$\longmapsto\tt{88\times{7}=22\times{2}\times{r}\times{14}}$

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

$\longmapsto\tt{r=\cancel\dfrac{616}{616}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{r}\orange{=}\purple{1}}}$

☛So , The Radius is 1cm...

➥Now ,

As we know that Diameter is double of Radius.So ,

$\longmapsto\tt{Diameter=2r}$

$\longmapsto\tt{2(1)}$

$\longmapsto\tt{2cm}$

☛So , The Radius is 2cm...