Question

the curved surface area of a right circular cylinder of height 14 cm is 88 cm.square. find the diameter of the cylinder.​

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

                           $\huge{\boxed{Solution}}$

Given :

1. Height of right circular cylinder

       is = 14 cm

   2.Curved Surface Area of circular

      cylinder is = 88 cm²

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To find :

The diameter of the cylinder.​

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Let's solve,

We know that Curved Surface

area of cylinder = 2πrh

$\implies88=2\times\dfrac{22}{7}\times r\times14\\\\\implies88=2\times22\times r\times2\\\\\implies4=2\times r\times2\\\\\implies4=4r\\\\\implies r=\dfrac{4}{4}\\\\\therefore\huge{\boxed{r=1\:cm}}$

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  And we also know that

  Diameter = 2(radius)

∴ Diameter = 2 × 1 = 2 cm